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Finding the Fourth Proportional to 200,762.67, 300,742.49 and 120,756.46

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Solution

The fourth proportional to 200,762.67, 300,742.49 and 120,756.46 is: 180,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,762.67 : 300,742.49 = 120,756.46 : x
  2. Step 2: Convert to fraction form
    200,762.67/300,742.49 = 120,756.46/x
  3. Step 3: Cross multiply
    200,762.67x = 300,742.49 × 120,756.46
  4. Step 4: Simplify right side
    200,762.67x = 36,316,598,463.99
  5. Step 5: Solve for x
    x = 36,316,598,463.99/200,762.67
  6. Step 6: Final answer
    x = 180,893.18

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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.