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Finding the Fourth Proportional to 53,689.49, 74,092.50 and 29,818.40

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Solution

The fourth proportional to 53,689.49, 74,092.50 and 29,818.40 is: 41,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,689.49 : 74,092.50 = 29,818.40 : x
  2. Step 2: Convert to fraction form
    53,689.49/74,092.50 = 29,818.40/x
  3. Step 3: Cross multiply
    53,689.49x = 74,092.50 × 29,818.40
  4. Step 4: Simplify right side
    53,689.49x = 2,209,319,802
  5. Step 5: Solve for x
    x = 2,209,319,802/53,689.49
  6. Step 6: Final answer
    x = 41,149.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.