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Finding the Fourth Proportional to 83,278.52, 124,917.84 and 20,949

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Solution

The fourth proportional to 83,278.52, 124,917.84 and 20,949 is: 31,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,278.52 : 124,917.84 = 20,949 : x
  2. Step 2: Convert to fraction form
    83,278.52/124,917.84 = 20,949/x
  3. Step 3: Cross multiply
    83,278.52x = 124,917.84 × 20,949
  4. Step 4: Simplify right side
    83,278.52x = 2,616,903,830.16
  5. Step 5: Solve for x
    x = 2,616,903,830.16/83,278.52
  6. Step 6: Final answer
    x = 31,423.52

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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.