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Finding the Fourth Proportional to 83,810.28, 115,608.42 and 72,612.84

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Solution

The fourth proportional to 83,810.28, 115,608.42 and 72,612.84 is: 100,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,810.28 : 115,608.42 = 72,612.84 : x
  2. Step 2: Convert to fraction form
    83,810.28/115,608.42 = 72,612.84/x
  3. Step 3: Cross multiply
    83,810.28x = 115,608.42 × 72,612.84
  4. Step 4: Simplify right side
    83,810.28x = 8,394,655,704.11
  5. Step 5: Solve for x
    x = 8,394,655,704.11/83,810.28
  6. Step 6: Final answer
    x = 100,162.60

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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.