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Finding the Fourth Proportional to 71,971.60, 107,957.40 and 66,722.80

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Solution

The fourth proportional to 71,971.60, 107,957.40 and 66,722.80 is: 100,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971.60 : 107,957.40 = 66,722.80 : x
  2. Step 2: Convert to fraction form
    71,971.60/107,957.40 = 66,722.80/x
  3. Step 3: Cross multiply
    71,971.60x = 107,957.40 × 66,722.80
  4. Step 4: Simplify right side
    71,971.60x = 7,203,220,008.72
  5. Step 5: Solve for x
    x = 7,203,220,008.72/71,971.60
  6. Step 6: Final answer
    x = 100,084.20

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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.