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Finding the Fourth Proportional to 103,174.53, 142,320.36 and 64,873.36

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Solution

The fourth proportional to 103,174.53, 142,320.36 and 64,873.36 is: 89,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,174.53 : 142,320.36 = 64,873.36 : x
  2. Step 2: Convert to fraction form
    103,174.53/142,320.36 = 64,873.36/x
  3. Step 3: Cross multiply
    103,174.53x = 142,320.36 × 64,873.36
  4. Step 4: Simplify right side
    103,174.53x = 9,232,799,949.61
  5. Step 5: Solve for x
    x = 9,232,799,949.61/103,174.53
  6. Step 6: Final answer
    x = 89,487.20

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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.