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Finding the Fourth Proportional to 57,470.72, 86,206.20 and 15,917.84

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Solution

The fourth proportional to 57,470.72, 86,206.20 and 15,917.84 is: 23,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,470.72 : 86,206.20 = 15,917.84 : x
  2. Step 2: Convert to fraction form
    57,470.72/86,206.20 = 15,917.84/x
  3. Step 3: Cross multiply
    57,470.72x = 86,206.20 × 15,917.84
  4. Step 4: Simplify right side
    57,470.72x = 1,372,216,498.61
  5. Step 5: Solve for x
    x = 1,372,216,498.61/57,470.72
  6. Step 6: Final answer
    x = 23,876.79

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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.