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Finding the Fourth Proportional to 137,824.80, 206,866.56 and 67,754.40

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Solution

The fourth proportional to 137,824.80, 206,866.56 and 67,754.40 is: 101,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,824.80 : 206,866.56 = 67,754.40 : x
  2. Step 2: Convert to fraction form
    137,824.80/206,866.56 = 67,754.40/x
  3. Step 3: Cross multiply
    137,824.80x = 206,866.56 × 67,754.40
  4. Step 4: Simplify right side
    137,824.80x = 14,016,119,652.86
  5. Step 5: Solve for x
    x = 14,016,119,652.86/137,824.80
  6. Step 6: Final answer
    x = 101,695.19

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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.