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Finding the Fourth Proportional to 137,859.20, 206,827.20 and 67,740.80

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Solution

The fourth proportional to 137,859.20, 206,827.20 and 67,740.80 is: 101,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,859.20 : 206,827.20 = 67,740.80 : x
  2. Step 2: Convert to fraction form
    137,859.20/206,827.20 = 67,740.80/x
  3. Step 3: Cross multiply
    137,859.20x = 206,827.20 × 67,740.80
  4. Step 4: Simplify right side
    137,859.20x = 14,010,639,989.76
  5. Step 5: Solve for x
    x = 14,010,639,989.76/137,859.20
  6. Step 6: Final answer
    x = 101,630.07

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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.