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Finding the Fourth Proportional to 83,501.84, 125,255 and 21,177.20

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Solution

The fourth proportional to 83,501.84, 125,255 and 21,177.20 is: 31,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.84 : 125,255 = 21,177.20 : x
  2. Step 2: Convert to fraction form
    83,501.84/125,255 = 21,177.20/x
  3. Step 3: Cross multiply
    83,501.84x = 125,255 × 21,177.20
  4. Step 4: Simplify right side
    83,501.84x = 2,652,550,186
  5. Step 5: Solve for x
    x = 2,652,550,186/83,501.84
  6. Step 6: Final answer
    x = 31,766.37

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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.