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Finding the Fourth Proportional to 266,685.42, 399,983.34 and 89,192.16

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Solution

The fourth proportional to 266,685.42, 399,983.34 and 89,192.16 is: 133,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,685.42 : 399,983.34 = 89,192.16 : x
  2. Step 2: Convert to fraction form
    266,685.42/399,983.34 = 89,192.16/x
  3. Step 3: Cross multiply
    266,685.42x = 399,983.34 × 89,192.16
  4. Step 4: Simplify right side
    266,685.42x = 35,675,378,058.61
  5. Step 5: Solve for x
    x = 35,675,378,058.61/266,685.42
  6. Step 6: Final answer
    x = 133,773.26

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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.