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Finding the Fourth Proportional to 90,828, 136,249.68 and 25,164

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Solution

The fourth proportional to 90,828, 136,249.68 and 25,164 is: 37,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,828 : 136,249.68 = 25,164 : x
  2. Step 2: Convert to fraction form
    90,828/136,249.68 = 25,164/x
  3. Step 3: Cross multiply
    90,828x = 136,249.68 × 25,164
  4. Step 4: Simplify right side
    90,828x = 3,428,586,947.52
  5. Step 5: Solve for x
    x = 3,428,586,947.52/90,828
  6. Step 6: Final answer
    x = 37,748.13

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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.