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Finding the Fourth Proportional to 217,411.75, 326,113.78 and 89,300.30

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Solution

The fourth proportional to 217,411.75, 326,113.78 and 89,300.30 is: 133,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,411.75 : 326,113.78 = 89,300.30 : x
  2. Step 2: Convert to fraction form
    217,411.75/326,113.78 = 89,300.30/x
  3. Step 3: Cross multiply
    217,411.75x = 326,113.78 × 89,300.30
  4. Step 4: Simplify right side
    217,411.75x = 29,122,058,388.13
  5. Step 5: Solve for x
    x = 29,122,058,388.13/217,411.75
  6. Step 6: Final answer
    x = 133,948.87

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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.