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Finding the Fourth Proportional to 71,341.92, 106,987.60 and 20,730.40

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Solution

The fourth proportional to 71,341.92, 106,987.60 and 20,730.40 is: 31,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,341.92 : 106,987.60 = 20,730.40 : x
  2. Step 2: Convert to fraction form
    71,341.92/106,987.60 = 20,730.40/x
  3. Step 3: Cross multiply
    71,341.92x = 106,987.60 × 20,730.40
  4. Step 4: Simplify right side
    71,341.92x = 2,217,895,743.04
  5. Step 5: Solve for x
    x = 2,217,895,743.04/71,341.92
  6. Step 6: Final answer
    x = 31,088.25

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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.