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Finding the Fourth Proportional to 83,451.78, 115,160.67 and 49,460.58

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Solution

The fourth proportional to 83,451.78, 115,160.67 and 49,460.58 is: 68,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451.78 : 115,160.67 = 49,460.58 : x
  2. Step 2: Convert to fraction form
    83,451.78/115,160.67 = 49,460.58/x
  3. Step 3: Cross multiply
    83,451.78x = 115,160.67 × 49,460.58
  4. Step 4: Simplify right side
    83,451.78x = 5,695,913,531.39
  5. Step 5: Solve for x
    x = 5,695,913,531.39/83,451.78
  6. Step 6: Final answer
    x = 68,253.95

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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.