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Finding the Fourth Proportional to 266,625, 400,085.12 and 159,746.31

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Solution

The fourth proportional to 266,625, 400,085.12 and 159,746.31 is: 239,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,625 : 400,085.12 = 159,746.31 : x
  2. Step 2: Convert to fraction form
    266,625/400,085.12 = 159,746.31/x
  3. Step 3: Cross multiply
    266,625x = 400,085.12 × 159,746.31
  4. Step 4: Simplify right side
    266,625x = 63,912,120,807.18
  5. Step 5: Solve for x
    x = 63,912,120,807.18/266,625
  6. Step 6: Final answer
    x = 239,707.91

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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.