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Finding the Fourth Proportional to 87,642, 120,945.96 and 49,938.12

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Solution

The fourth proportional to 87,642, 120,945.96 and 49,938.12 is: 68,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,642 : 120,945.96 = 49,938.12 : x
  2. Step 2: Convert to fraction form
    87,642/120,945.96 = 49,938.12/x
  3. Step 3: Cross multiply
    87,642x = 120,945.96 × 49,938.12
  4. Step 4: Simplify right side
    87,642x = 6,039,813,864.00
  5. Step 5: Solve for x
    x = 6,039,813,864.00/87,642
  6. Step 6: Final answer
    x = 68,914.61

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1.5x scale

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.