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Finding the Fourth Proportional to 81,320.52, 122,120.38 and 49,915

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Solution

The fourth proportional to 81,320.52, 122,120.38 and 49,915 is: 74,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,320.52 : 122,120.38 = 49,915 : x
  2. Step 2: Convert to fraction form
    81,320.52/122,120.38 = 49,915/x
  3. Step 3: Cross multiply
    81,320.52x = 122,120.38 × 49,915
  4. Step 4: Simplify right side
    81,320.52x = 6,095,638,767.70
  5. Step 5: Solve for x
    x = 6,095,638,767.70/81,320.52
  6. Step 6: Final answer
    x = 74,958.19

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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.