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Finding the Fourth Proportional to 81,714.17, 112,753.28 and 45,897.32

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Solution

The fourth proportional to 81,714.17, 112,753.28 and 45,897.32 is: 63,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.17 : 112,753.28 = 45,897.32 : x
  2. Step 2: Convert to fraction form
    81,714.17/112,753.28 = 45,897.32/x
  3. Step 3: Cross multiply
    81,714.17x = 112,753.28 × 45,897.32
  4. Step 4: Simplify right side
    81,714.17x = 5,175,073,769.84
  5. Step 5: Solve for x
    x = 5,175,073,769.84/81,714.17
  6. Step 6: Final answer
    x = 63,331.41

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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.