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Finding the Fourth Proportional to 206,123.94, 284,459.20 and 115,480.65

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Solution

The fourth proportional to 206,123.94, 284,459.20 and 115,480.65 is: 159,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,123.94 : 284,459.20 = 115,480.65 : x
  2. Step 2: Convert to fraction form
    206,123.94/284,459.20 = 115,480.65/x
  3. Step 3: Cross multiply
    206,123.94x = 284,459.20 × 115,480.65
  4. Step 4: Simplify right side
    206,123.94x = 32,849,533,314.48
  5. Step 5: Solve for x
    x = 32,849,533,314.48/206,123.94
  6. Step 6: Final answer
    x = 159,367.87

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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.