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Finding the Fourth Proportional to 87,871.32, 131,805.90 and 21,312

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Solution

The fourth proportional to 87,871.32, 131,805.90 and 21,312 is: 31,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,871.32 : 131,805.90 = 21,312 : x
  2. Step 2: Convert to fraction form
    87,871.32/131,805.90 = 21,312/x
  3. Step 3: Cross multiply
    87,871.32x = 131,805.90 × 21,312
  4. Step 4: Simplify right side
    87,871.32x = 2,809,047,340.80
  5. Step 5: Solve for x
    x = 2,809,047,340.80/87,871.32
  6. Step 6: Final answer
    x = 31,967.74

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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.