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Finding the Fourth Proportional to 78,503.74, 117,753.43 and 25,195.30

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Solution

The fourth proportional to 78,503.74, 117,753.43 and 25,195.30 is: 37,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.74 : 117,753.43 = 25,195.30 : x
  2. Step 2: Convert to fraction form
    78,503.74/117,753.43 = 25,195.30/x
  3. Step 3: Cross multiply
    78,503.74x = 117,753.43 × 25,195.30
  4. Step 4: Simplify right side
    78,503.74x = 2,966,832,708.25
  5. Step 5: Solve for x
    x = 2,966,832,708.25/78,503.74
  6. Step 6: Final answer
    x = 37,792.24

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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.