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Finding the Fourth Proportional to 57,306, 85,949.56 and 15,188.70

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Solution

The fourth proportional to 57,306, 85,949.56 and 15,188.70 is: 22,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,306 : 85,949.56 = 15,188.70 : x
  2. Step 2: Convert to fraction form
    57,306/85,949.56 = 15,188.70/x
  3. Step 3: Cross multiply
    57,306x = 85,949.56 × 15,188.70
  4. Step 4: Simplify right side
    57,306x = 1,305,462,081.97
  5. Step 5: Solve for x
    x = 1,305,462,081.97/57,306
  6. Step 6: Final answer
    x = 22,780.55

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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.