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Finding the Fourth Proportional to 62,380, 86,085.84 and 38,523.04

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Solution

The fourth proportional to 62,380, 86,085.84 and 38,523.04 is: 53,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,380 : 86,085.84 = 38,523.04 : x
  2. Step 2: Convert to fraction form
    62,380/86,085.84 = 38,523.04/x
  3. Step 3: Cross multiply
    62,380x = 86,085.84 × 38,523.04
  4. Step 4: Simplify right side
    62,380x = 3,316,288,257.75
  5. Step 5: Solve for x
    x = 3,316,288,257.75/62,380
  6. Step 6: Final answer
    x = 53,162.68

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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.