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Finding the Fourth Proportional to 83,486.79, 115,229.16 and 76,761.72

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Solution

The fourth proportional to 83,486.79, 115,229.16 and 76,761.72 is: 105,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486.79 : 115,229.16 = 76,761.72 : x
  2. Step 2: Convert to fraction form
    83,486.79/115,229.16 = 76,761.72/x
  3. Step 3: Cross multiply
    83,486.79x = 115,229.16 × 76,761.72
  4. Step 4: Simplify right side
    83,486.79x = 8,845,188,515.76
  5. Step 5: Solve for x
    x = 8,845,188,515.76/83,486.79
  6. Step 6: Final answer
    x = 105,947.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.