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Finding the Fourth Proportional to 70,755.84, 106,129.92 and 21,504

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Solution

The fourth proportional to 70,755.84, 106,129.92 and 21,504 is: 32,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,755.84 : 106,129.92 = 21,504 : x
  2. Step 2: Convert to fraction form
    70,755.84/106,129.92 = 21,504/x
  3. Step 3: Cross multiply
    70,755.84x = 106,129.92 × 21,504
  4. Step 4: Simplify right side
    70,755.84x = 2,282,217,799.68
  5. Step 5: Solve for x
    x = 2,282,217,799.68/70,755.84
  6. Step 6: Final answer
    x = 32,254.83

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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.