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Finding the Fourth Proportional to 81,754.50, 112,821.66 and 45,456.44

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Solution

The fourth proportional to 81,754.50, 112,821.66 and 45,456.44 is: 62,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,754.50 : 112,821.66 = 45,456.44 : x
  2. Step 2: Convert to fraction form
    81,754.50/112,821.66 = 45,456.44/x
  3. Step 3: Cross multiply
    81,754.50x = 112,821.66 × 45,456.44
  4. Step 4: Simplify right side
    81,754.50x = 5,128,471,018.49
  5. Step 5: Solve for x
    x = 5,128,471,018.49/81,754.50
  6. Step 6: Final answer
    x = 62,730.14

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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.