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Finding the Fourth Proportional to 206,737.47, 285,328.94 and 126,211.95

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Solution

The fourth proportional to 206,737.47, 285,328.94 and 126,211.95 is: 174,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,737.47 : 285,328.94 = 126,211.95 : x
  2. Step 2: Convert to fraction form
    206,737.47/285,328.94 = 126,211.95/x
  3. Step 3: Cross multiply
    206,737.47x = 285,328.94 × 126,211.95
  4. Step 4: Simplify right side
    206,737.47x = 36,011,921,277.77
  5. Step 5: Solve for x
    x = 36,011,921,277.77/206,737.47
  6. Step 6: Final answer
    x = 174,191.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.