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Finding the Fourth Proportional to 81,702.11, 112,754.96 and 45,894.24

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Solution

The fourth proportional to 81,702.11, 112,754.96 and 45,894.24 is: 63,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.11 : 112,754.96 = 45,894.24 : x
  2. Step 2: Convert to fraction form
    81,702.11/112,754.96 = 45,894.24/x
  3. Step 3: Cross multiply
    81,702.11x = 112,754.96 × 45,894.24
  4. Step 4: Simplify right side
    81,702.11x = 5,174,803,310.17
  5. Step 5: Solve for x
    x = 5,174,803,310.17/81,702.11
  6. Step 6: Final answer
    x = 63,337.45

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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.