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Finding the Fourth Proportional to 120,777,954.80, 180,954,355.80 and 103,771,842.80

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Solution

The fourth proportional to 120,777,954.80, 180,954,355.80 and 103,771,842.80 is: 155,475,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,777,954.80 : 180,954,355.80 = 103,771,842.80 : x
  2. Step 2: Convert to fraction form
    120,777,954.80/180,954,355.80 = 103,771,842.80/x
  3. Step 3: Cross multiply
    120,777,954.80x = 180,954,355.80 × 103,771,842.80
  4. Step 4: Simplify right side
    120,777,954.80x = 18,777,966,964,052,868
  5. Step 5: Solve for x
    x = 18,777,966,964,052,868/120,777,954.80
  6. Step 6: Final answer
    x = 155,475,119.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.