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Finding the Fourth Proportional to 266,009.38, 399,010.10 and 123,775

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Solution

The fourth proportional to 266,009.38, 399,010.10 and 123,775 is: 185,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,009.38 : 399,010.10 = 123,775 : x
  2. Step 2: Convert to fraction form
    266,009.38/399,010.10 = 123,775/x
  3. Step 3: Cross multiply
    266,009.38x = 399,010.10 × 123,775
  4. Step 4: Simplify right side
    266,009.38x = 49,387,475,127.50
  5. Step 5: Solve for x
    x = 49,387,475,127.50/266,009.38
  6. Step 6: Final answer
    x = 185,660.65

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1.5x scale

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.