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Finding the Fourth Proportional to 206,938.47, 310,156.61 and 146,872.11

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Solution

The fourth proportional to 206,938.47, 310,156.61 and 146,872.11 is: 220,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,938.47 : 310,156.61 = 146,872.11 : x
  2. Step 2: Convert to fraction form
    206,938.47/310,156.61 = 146,872.11/x
  3. Step 3: Cross multiply
    206,938.47x = 310,156.61 × 146,872.11
  4. Step 4: Simplify right side
    206,938.47x = 45,553,355,006.79
  5. Step 5: Solve for x
    x = 45,553,355,006.79/206,938.47
  6. Step 6: Final answer
    x = 220,129.95

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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.