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Finding the Fourth Proportional to 81,702.66, 112,732.18 and 47,695.71

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Solution

The fourth proportional to 81,702.66, 112,732.18 and 47,695.71 is: 65,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.66 : 112,732.18 = 47,695.71 : x
  2. Step 2: Convert to fraction form
    81,702.66/112,732.18 = 47,695.71/x
  3. Step 3: Cross multiply
    81,702.66x = 112,732.18 × 47,695.71
  4. Step 4: Simplify right side
    81,702.66x = 5,376,841,741.63
  5. Step 5: Solve for x
    x = 5,376,841,741.63/81,702.66
  6. Step 6: Final answer
    x = 65,809.87

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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.