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Finding the Fourth Proportional to 71,543.04, 107,742.92 and 65,158.56

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Solution

The fourth proportional to 71,543.04, 107,742.92 and 65,158.56 is: 98,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.04 : 107,742.92 = 65,158.56 : x
  2. Step 2: Convert to fraction form
    71,543.04/107,742.92 = 65,158.56/x
  3. Step 3: Cross multiply
    71,543.04x = 107,742.92 × 65,158.56
  4. Step 4: Simplify right side
    71,543.04x = 7,020,373,517.40
  5. Step 5: Solve for x
    x = 7,020,373,517.40/71,543.04
  6. Step 6: Final answer
    x = 98,127.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.