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Finding the Fourth Proportional to 74,561.52, 102,894.84 and 42,728.88

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Solution

The fourth proportional to 74,561.52, 102,894.84 and 42,728.88 is: 58,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,561.52 : 102,894.84 = 42,728.88 : x
  2. Step 2: Convert to fraction form
    74,561.52/102,894.84 = 42,728.88/x
  3. Step 3: Cross multiply
    74,561.52x = 102,894.84 × 42,728.88
  4. Step 4: Simplify right side
    74,561.52x = 4,396,581,270.98
  5. Step 5: Solve for x
    x = 4,396,581,270.98/74,561.52
  6. Step 6: Final answer
    x = 58,965.82

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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.