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Finding the Fourth Proportional to 215,125.71, 322,676.24 and 82,019.40

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Solution

The fourth proportional to 215,125.71, 322,676.24 and 82,019.40 is: 123,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,125.71 : 322,676.24 = 82,019.40 : x
  2. Step 2: Convert to fraction form
    215,125.71/322,676.24 = 82,019.40/x
  3. Step 3: Cross multiply
    215,125.71x = 322,676.24 × 82,019.40
  4. Step 4: Simplify right side
    215,125.71x = 26,465,711,188.96
  5. Step 5: Solve for x
    x = 26,465,711,188.96/215,125.71
  6. Step 6: Final answer
    x = 123,024.40

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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.