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Finding the Fourth Proportional to 215,359.29, 323,087.54 and 71,264.74

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Solution

The fourth proportional to 215,359.29, 323,087.54 and 71,264.74 is: 106,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,359.29 : 323,087.54 = 71,264.74 : x
  2. Step 2: Convert to fraction form
    215,359.29/323,087.54 = 71,264.74/x
  3. Step 3: Cross multiply
    215,359.29x = 323,087.54 × 71,264.74
  4. Step 4: Simplify right side
    215,359.29x = 23,024,749,311.14
  5. Step 5: Solve for x
    x = 23,024,749,311.14/215,359.29
  6. Step 6: Final answer
    x = 106,913.19

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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.