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Finding the Fourth Proportional to 71,397.60, 107,096.40 and 54,808.80

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Solution

The fourth proportional to 71,397.60, 107,096.40 and 54,808.80 is: 82,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,397.60 : 107,096.40 = 54,808.80 : x
  2. Step 2: Convert to fraction form
    71,397.60/107,096.40 = 54,808.80/x
  3. Step 3: Cross multiply
    71,397.60x = 107,096.40 × 54,808.80
  4. Step 4: Simplify right side
    71,397.60x = 5,869,825,168.32
  5. Step 5: Solve for x
    x = 5,869,825,168.32/71,397.60
  6. Step 6: Final answer
    x = 82,213.20

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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.