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Finding the Fourth Proportional to 71,735.28, 107,594.76 and 19,148.88

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Solution

The fourth proportional to 71,735.28, 107,594.76 and 19,148.88 is: 28,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,735.28 : 107,594.76 = 19,148.88 : x
  2. Step 2: Convert to fraction form
    71,735.28/107,594.76 = 19,148.88/x
  3. Step 3: Cross multiply
    71,735.28x = 107,594.76 × 19,148.88
  4. Step 4: Simplify right side
    71,735.28x = 2,060,319,147.87
  5. Step 5: Solve for x
    x = 2,060,319,147.87/71,735.28
  6. Step 6: Final answer
    x = 28,721.14

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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.