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Finding the Fourth Proportional to 78,155.29, 117,243.87 and 25,568.92

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Solution

The fourth proportional to 78,155.29, 117,243.87 and 25,568.92 is: 38,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,155.29 : 117,243.87 = 25,568.92 : x
  2. Step 2: Convert to fraction form
    78,155.29/117,243.87 = 25,568.92/x
  3. Step 3: Cross multiply
    78,155.29x = 117,243.87 × 25,568.92
  4. Step 4: Simplify right side
    78,155.29x = 2,997,799,132.52
  5. Step 5: Solve for x
    x = 2,997,799,132.52/78,155.29
  6. Step 6: Final answer
    x = 38,356.96

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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.