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Finding the Fourth Proportional to 266,701.17, 399,968.31 and 89,166.78

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Solution

The fourth proportional to 266,701.17, 399,968.31 and 89,166.78 is: 133,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,701.17 : 399,968.31 = 89,166.78 : x
  2. Step 2: Convert to fraction form
    266,701.17/399,968.31 = 89,166.78/x
  3. Step 3: Cross multiply
    266,701.17x = 399,968.31 × 89,166.78
  4. Step 4: Simplify right side
    266,701.17x = 35,663,886,304.74
  5. Step 5: Solve for x
    x = 35,663,886,304.74/266,701.17
  6. Step 6: Final answer
    x = 133,722.27

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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.