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Finding the Fourth Proportional to 120,868, 181,172.40 and 58,400.80

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Solution

The fourth proportional to 120,868, 181,172.40 and 58,400.80 is: 87,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,868 : 181,172.40 = 58,400.80 : x
  2. Step 2: Convert to fraction form
    120,868/181,172.40 = 58,400.80/x
  3. Step 3: Cross multiply
    120,868x = 181,172.40 × 58,400.80
  4. Step 4: Simplify right side
    120,868x = 10,580,613,097.92
  5. Step 5: Solve for x
    x = 10,580,613,097.92/120,868
  6. Step 6: Final answer
    x = 87,538.58

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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.