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Finding the Fourth Proportional to 83,838.70, 125,770.56 and 27,684.76

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Solution

The fourth proportional to 83,838.70, 125,770.56 and 27,684.76 is: 41,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.70 : 125,770.56 = 27,684.76 : x
  2. Step 2: Convert to fraction form
    83,838.70/125,770.56 = 27,684.76/x
  3. Step 3: Cross multiply
    83,838.70x = 125,770.56 × 27,684.76
  4. Step 4: Simplify right side
    83,838.70x = 3,481,927,768.67
  5. Step 5: Solve for x
    x = 3,481,927,768.67/83,838.70
  6. Step 6: Final answer
    x = 41,531.27

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1.5x scale

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.