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Finding the Fourth Proportional to 103,691.36, 142,963.08 and 67,824.56

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Solution

The fourth proportional to 103,691.36, 142,963.08 and 67,824.56 is: 93,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691.36 : 142,963.08 = 67,824.56 : x
  2. Step 2: Convert to fraction form
    103,691.36/142,963.08 = 67,824.56/x
  3. Step 3: Cross multiply
    103,691.36x = 142,963.08 × 67,824.56
  4. Step 4: Simplify right side
    103,691.36x = 9,696,407,997.24
  5. Step 5: Solve for x
    x = 9,696,407,997.24/103,691.36
  6. Step 6: Final answer
    x = 93,512.21

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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.