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Finding the Fourth Proportional to 71,152.80, 106,729.20 and 66,775.20

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Solution

The fourth proportional to 71,152.80, 106,729.20 and 66,775.20 is: 100,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.80 : 106,729.20 = 66,775.20 : x
  2. Step 2: Convert to fraction form
    71,152.80/106,729.20 = 66,775.20/x
  3. Step 3: Cross multiply
    71,152.80x = 106,729.20 × 66,775.20
  4. Step 4: Simplify right side
    71,152.80x = 7,126,863,675.84
  5. Step 5: Solve for x
    x = 7,126,863,675.84/71,152.80
  6. Step 6: Final answer
    x = 100,162.80

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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.