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Finding the Fourth Proportional to 81,472.96, 112,264.14 and 65,493.28

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Solution

The fourth proportional to 81,472.96, 112,264.14 and 65,493.28 is: 90,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472.96 : 112,264.14 = 65,493.28 : x
  2. Step 2: Convert to fraction form
    81,472.96/112,264.14 = 65,493.28/x
  3. Step 3: Cross multiply
    81,472.96x = 112,264.14 × 65,493.28
  4. Step 4: Simplify right side
    81,472.96x = 7,352,546,754.98
  5. Step 5: Solve for x
    x = 7,352,546,754.98/81,472.96
  6. Step 6: Final answer
    x = 90,245.24

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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.