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Finding the Fourth Proportional to 83,638.81, 115,418.44 and 45,397.53

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Solution

The fourth proportional to 83,638.81, 115,418.44 and 45,397.53 is: 62,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638.81 : 115,418.44 = 45,397.53 : x
  2. Step 2: Convert to fraction form
    83,638.81/115,418.44 = 45,397.53/x
  3. Step 3: Cross multiply
    83,638.81x = 115,418.44 × 45,397.53
  4. Step 4: Simplify right side
    83,638.81x = 5,239,712,763.80
  5. Step 5: Solve for x
    x = 5,239,712,763.80/83,638.81
  6. Step 6: Final answer
    x = 62,646.91

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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.