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Finding the Fourth Proportional to 87,274.88, 130,873.44 and 31,832

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Solution

The fourth proportional to 87,274.88, 130,873.44 and 31,832 is: 47,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,274.88 : 130,873.44 = 31,832 : x
  2. Step 2: Convert to fraction form
    87,274.88/130,873.44 = 31,832/x
  3. Step 3: Cross multiply
    87,274.88x = 130,873.44 × 31,832
  4. Step 4: Simplify right side
    87,274.88x = 4,165,963,342.08
  5. Step 5: Solve for x
    x = 4,165,963,342.08/87,274.88
  6. Step 6: Final answer
    x = 47,733.82

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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.