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Finding the Fourth Proportional to 61,855.28, 92,781.84 and 42,862.40

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Solution

The fourth proportional to 61,855.28, 92,781.84 and 42,862.40 is: 64,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,855.28 : 92,781.84 = 42,862.40 : x
  2. Step 2: Convert to fraction form
    61,855.28/92,781.84 = 42,862.40/x
  3. Step 3: Cross multiply
    61,855.28x = 92,781.84 × 42,862.40
  4. Step 4: Simplify right side
    61,855.28x = 3,976,852,338.82
  5. Step 5: Solve for x
    x = 3,976,852,338.82/61,855.28
  6. Step 6: Final answer
    x = 64,292.85

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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.