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Finding the Fourth Proportional to 142,651.20, 213,976.80 and 98,414.40

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Solution

The fourth proportional to 142,651.20, 213,976.80 and 98,414.40 is: 147,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651.20 : 213,976.80 = 98,414.40 : x
  2. Step 2: Convert to fraction form
    142,651.20/213,976.80 = 98,414.40/x
  3. Step 3: Cross multiply
    142,651.20x = 213,976.80 × 98,414.40
  4. Step 4: Simplify right side
    142,651.20x = 21,058,398,385.92
  5. Step 5: Solve for x
    x = 21,058,398,385.92/142,651.20
  6. Step 6: Final answer
    x = 147,621.60

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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.