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Finding the Fourth Proportional to 65,828, 90,844.92 and 36,020

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Solution

The fourth proportional to 65,828, 90,844.92 and 36,020 is: 49,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828 : 90,844.92 = 36,020 : x
  2. Step 2: Convert to fraction form
    65,828/90,844.92 = 36,020/x
  3. Step 3: Cross multiply
    65,828x = 90,844.92 × 36,020
  4. Step 4: Simplify right side
    65,828x = 3,272,234,018.40
  5. Step 5: Solve for x
    x = 3,272,234,018.40/65,828
  6. Step 6: Final answer
    x = 49,708.85

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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.