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Finding the Fourth Proportional to 147,410.80, 220,853.76 and 68,387.20

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Solution

The fourth proportional to 147,410.80, 220,853.76 and 68,387.20 is: 102,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,410.80 : 220,853.76 = 68,387.20 : x
  2. Step 2: Convert to fraction form
    147,410.80/220,853.76 = 68,387.20/x
  3. Step 3: Cross multiply
    147,410.80x = 220,853.76 × 68,387.20
  4. Step 4: Simplify right side
    147,410.80x = 15,103,570,255.87
  5. Step 5: Solve for x
    x = 15,103,570,255.87/147,410.80
  6. Step 6: Final answer
    x = 102,459.05

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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.