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Finding the Fourth Proportional to 83,380.42, 115,042.17 and 53,589.70

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Solution

The fourth proportional to 83,380.42, 115,042.17 and 53,589.70 is: 73,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,380.42 : 115,042.17 = 53,589.70 : x
  2. Step 2: Convert to fraction form
    83,380.42/115,042.17 = 53,589.70/x
  3. Step 3: Cross multiply
    83,380.42x = 115,042.17 × 53,589.70
  4. Step 4: Simplify right side
    83,380.42x = 6,165,075,377.65
  5. Step 5: Solve for x
    x = 6,165,075,377.65/83,380.42
  6. Step 6: Final answer
    x = 73,939.13

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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.