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Finding the Fourth Proportional to 215,614.74, 323,484.51 and 89,231.66

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Solution

The fourth proportional to 215,614.74, 323,484.51 and 89,231.66 is: 133,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,614.74 : 323,484.51 = 89,231.66 : x
  2. Step 2: Convert to fraction form
    215,614.74/323,484.51 = 89,231.66/x
  3. Step 3: Cross multiply
    215,614.74x = 323,484.51 × 89,231.66
  4. Step 4: Simplify right side
    215,614.74x = 28,865,058,194.16
  5. Step 5: Solve for x
    x = 28,865,058,194.16/215,614.74
  6. Step 6: Final answer
    x = 133,873.31

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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.