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Finding the Fourth Proportional to 83,478.34, 125,232.09 and 36,730

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Solution

The fourth proportional to 83,478.34, 125,232.09 and 36,730 is: 55,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.34 : 125,232.09 = 36,730 : x
  2. Step 2: Convert to fraction form
    83,478.34/125,232.09 = 36,730/x
  3. Step 3: Cross multiply
    83,478.34x = 125,232.09 × 36,730
  4. Step 4: Simplify right side
    83,478.34x = 4,599,774,665.70
  5. Step 5: Solve for x
    x = 4,599,774,665.70/83,478.34
  6. Step 6: Final answer
    x = 55,101.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.