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Finding the Fourth Proportional to 71,470.28, 107,118.87 and 39,846.76

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Solution

The fourth proportional to 71,470.28, 107,118.87 and 39,846.76 is: 59,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,470.28 : 107,118.87 = 39,846.76 : x
  2. Step 2: Convert to fraction form
    71,470.28/107,118.87 = 39,846.76/x
  3. Step 3: Cross multiply
    71,470.28x = 107,118.87 × 39,846.76
  4. Step 4: Simplify right side
    71,470.28x = 4,268,339,904.36
  5. Step 5: Solve for x
    x = 4,268,339,904.36/71,470.28
  6. Step 6: Final answer
    x = 59,721.89

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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.