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Finding the Fourth Proportional to 87,145.67, 130,755.41 and 47,656.65

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Solution

The fourth proportional to 87,145.67, 130,755.41 and 47,656.65 is: 71,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,145.67 : 130,755.41 = 47,656.65 : x
  2. Step 2: Convert to fraction form
    87,145.67/130,755.41 = 47,656.65/x
  3. Step 3: Cross multiply
    87,145.67x = 130,755.41 × 47,656.65
  4. Step 4: Simplify right side
    87,145.67x = 6,231,364,571.69
  5. Step 5: Solve for x
    x = 6,231,364,571.69/87,145.67
  6. Step 6: Final answer
    x = 71,505.16

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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.