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Finding the Fourth Proportional to 217,011.78, 325,411.16 and 90,614.12

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Solution

The fourth proportional to 217,011.78, 325,411.16 and 90,614.12 is: 135,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,011.78 : 325,411.16 = 90,614.12 : x
  2. Step 2: Convert to fraction form
    217,011.78/325,411.16 = 90,614.12/x
  3. Step 3: Cross multiply
    217,011.78x = 325,411.16 × 90,614.12
  4. Step 4: Simplify right side
    217,011.78x = 29,486,843,821.45
  5. Step 5: Solve for x
    x = 29,486,843,821.45/217,011.78
  6. Step 6: Final answer
    x = 135,876.70

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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.