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Finding the Fourth Proportional to 87,872.86, 121,264.88 and 47,586.64

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Solution

The fourth proportional to 87,872.86, 121,264.88 and 47,586.64 is: 65,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,872.86 : 121,264.88 = 47,586.64 : x
  2. Step 2: Convert to fraction form
    87,872.86/121,264.88 = 47,586.64/x
  3. Step 3: Cross multiply
    87,872.86x = 121,264.88 × 47,586.64
  4. Step 4: Simplify right side
    87,872.86x = 5,770,588,189.20
  5. Step 5: Solve for x
    x = 5,770,588,189.20/87,872.86
  6. Step 6: Final answer
    x = 65,669.74

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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.