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Finding the Fourth Proportional to 83,145.78, 124,749.65 and 49,889.71

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Solution

The fourth proportional to 83,145.78, 124,749.65 and 49,889.71 is: 74,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.78 : 124,749.65 = 49,889.71 : x
  2. Step 2: Convert to fraction form
    83,145.78/124,749.65 = 49,889.71/x
  3. Step 3: Cross multiply
    83,145.78x = 124,749.65 × 49,889.71
  4. Step 4: Simplify right side
    83,145.78x = 6,223,723,861.10
  5. Step 5: Solve for x
    x = 6,223,723,861.10/83,145.78
  6. Step 6: Final answer
    x = 74,853.15

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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.