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Finding the Fourth Proportional to 83,639.81, 115,419.82 and 45,398.53

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Solution

The fourth proportional to 83,639.81, 115,419.82 and 45,398.53 is: 62,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639.81 : 115,419.82 = 45,398.53 : x
  2. Step 2: Convert to fraction form
    83,639.81/115,419.82 = 45,398.53/x
  3. Step 3: Cross multiply
    83,639.81x = 115,419.82 × 45,398.53
  4. Step 4: Simplify right side
    83,639.81x = 5,239,890,160.86
  5. Step 5: Solve for x
    x = 5,239,890,160.86/83,639.81
  6. Step 6: Final answer
    x = 62,648.28

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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.