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Finding the Fourth Proportional to 83,640, 125,144.90 and 58,729.26

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Solution

The fourth proportional to 83,640, 125,144.90 and 58,729.26 is: 87,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640 : 125,144.90 = 58,729.26 : x
  2. Step 2: Convert to fraction form
    83,640/125,144.90 = 58,729.26/x
  3. Step 3: Cross multiply
    83,640x = 125,144.90 × 58,729.26
  4. Step 4: Simplify right side
    83,640x = 7,349,667,369.77
  5. Step 5: Solve for x
    x = 7,349,667,369.77/83,640
  6. Step 6: Final answer
    x = 87,872.64

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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.