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Finding the Fourth Proportional to 71,071.92, 106,594.98 and 18,478.14

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Solution

The fourth proportional to 71,071.92, 106,594.98 and 18,478.14 is: 27,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.92 : 106,594.98 = 18,478.14 : x
  2. Step 2: Convert to fraction form
    71,071.92/106,594.98 = 18,478.14/x
  3. Step 3: Cross multiply
    71,071.92x = 106,594.98 × 18,478.14
  4. Step 4: Simplify right side
    71,071.92x = 1,969,676,963.74
  5. Step 5: Solve for x
    x = 1,969,676,963.74/71,071.92
  6. Step 6: Final answer
    x = 27,713.86

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1.5x scale

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.