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Finding the Fourth Proportional to 71,376.40, 106,979.50 and 29,254.76

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Solution

The fourth proportional to 71,376.40, 106,979.50 and 29,254.76 is: 43,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376.40 : 106,979.50 = 29,254.76 : x
  2. Step 2: Convert to fraction form
    71,376.40/106,979.50 = 29,254.76/x
  3. Step 3: Cross multiply
    71,376.40x = 106,979.50 × 29,254.76
  4. Step 4: Simplify right side
    71,376.40x = 3,129,659,597.42
  5. Step 5: Solve for x
    x = 3,129,659,597.42/71,376.40
  6. Step 6: Final answer
    x = 43,847.26

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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.