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Finding the Fourth Proportional to 73,963.32, 102,069.26 and 42,132.20

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Solution

The fourth proportional to 73,963.32, 102,069.26 and 42,132.20 is: 58,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,963.32 : 102,069.26 = 42,132.20 : x
  2. Step 2: Convert to fraction form
    73,963.32/102,069.26 = 42,132.20/x
  3. Step 3: Cross multiply
    73,963.32x = 102,069.26 × 42,132.20
  4. Step 4: Simplify right side
    73,963.32x = 4,300,402,476.17
  5. Step 5: Solve for x
    x = 4,300,402,476.17/73,963.32
  6. Step 6: Final answer
    x = 58,142.37

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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.