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Finding the Fourth Proportional to 87,294.84, 120,537.90 and 71,164.68

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Solution

The fourth proportional to 87,294.84, 120,537.90 and 71,164.68 is: 98,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,294.84 : 120,537.90 = 71,164.68 : x
  2. Step 2: Convert to fraction form
    87,294.84/120,537.90 = 71,164.68/x
  3. Step 3: Cross multiply
    87,294.84x = 120,537.90 × 71,164.68
  4. Step 4: Simplify right side
    87,294.84x = 8,578,041,081.37
  5. Step 5: Solve for x
    x = 8,578,041,081.37/87,294.84
  6. Step 6: Final answer
    x = 98,265.16

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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.