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Finding the Fourth Proportional to 73,932, 102,028.68 and 40,400.16

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Solution

The fourth proportional to 73,932, 102,028.68 and 40,400.16 is: 55,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,932 : 102,028.68 = 40,400.16 : x
  2. Step 2: Convert to fraction form
    73,932/102,028.68 = 40,400.16/x
  3. Step 3: Cross multiply
    73,932x = 102,028.68 × 40,400.16
  4. Step 4: Simplify right side
    73,932x = 4,121,974,996.59
  5. Step 5: Solve for x
    x = 4,121,974,996.59/73,932
  6. Step 6: Final answer
    x = 55,753.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.