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Finding the Fourth Proportional to 71,029.20, 106,543.80 and 26,657.40

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Solution

The fourth proportional to 71,029.20, 106,543.80 and 26,657.40 is: 39,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029.20 : 106,543.80 = 26,657.40 : x
  2. Step 2: Convert to fraction form
    71,029.20/106,543.80 = 26,657.40/x
  3. Step 3: Cross multiply
    71,029.20x = 106,543.80 × 26,657.40
  4. Step 4: Simplify right side
    71,029.20x = 2,840,180,694.12
  5. Step 5: Solve for x
    x = 2,840,180,694.12/71,029.20
  6. Step 6: Final answer
    x = 39,986.10

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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.