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Finding the Fourth Proportional to 206,156.70, 284,476.50 and 141,682.50

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Solution

The fourth proportional to 206,156.70, 284,476.50 and 141,682.50 is: 195,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,156.70 : 284,476.50 = 141,682.50 : x
  2. Step 2: Convert to fraction form
    206,156.70/284,476.50 = 141,682.50/x
  3. Step 3: Cross multiply
    206,156.70x = 284,476.50 × 141,682.50
  4. Step 4: Simplify right side
    206,156.70x = 40,305,341,711.25
  5. Step 5: Solve for x
    x = 40,305,341,711.25/206,156.70
  6. Step 6: Final answer
    x = 195,508.28

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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.