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Finding the Fourth Proportional to 83,875.95, 115,747.92 and 45,636.66

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Solution

The fourth proportional to 83,875.95, 115,747.92 and 45,636.66 is: 62,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,875.95 : 115,747.92 = 45,636.66 : x
  2. Step 2: Convert to fraction form
    83,875.95/115,747.92 = 45,636.66/x
  3. Step 3: Cross multiply
    83,875.95x = 115,747.92 × 45,636.66
  4. Step 4: Simplify right side
    83,875.95x = 5,282,348,470.75
  5. Step 5: Solve for x
    x = 5,282,348,470.75/83,875.95
  6. Step 6: Final answer
    x = 62,978.11

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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.