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Finding the Fourth Proportional to 87,894.32, 131,840.22 and 21,335

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Solution

The fourth proportional to 87,894.32, 131,840.22 and 21,335 is: 32,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,894.32 : 131,840.22 = 21,335 : x
  2. Step 2: Convert to fraction form
    87,894.32/131,840.22 = 21,335/x
  3. Step 3: Cross multiply
    87,894.32x = 131,840.22 × 21,335
  4. Step 4: Simplify right side
    87,894.32x = 2,812,811,093.70
  5. Step 5: Solve for x
    x = 2,812,811,093.70/87,894.32
  6. Step 6: Final answer
    x = 32,002.19

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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.