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Finding the Fourth Proportional to 83,386.72, 115,073.72 and 45,660.97

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Solution

The fourth proportional to 83,386.72, 115,073.72 and 45,660.97 is: 63,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,386.72 : 115,073.72 = 45,660.97 : x
  2. Step 2: Convert to fraction form
    83,386.72/115,073.72 = 45,660.97/x
  3. Step 3: Cross multiply
    83,386.72x = 115,073.72 × 45,660.97
  4. Step 4: Simplify right side
    83,386.72x = 5,254,377,331.95
  5. Step 5: Solve for x
    x = 5,254,377,331.95/83,386.72
  6. Step 6: Final answer
    x = 63,012.16

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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.