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Finding the Fourth Proportional to 87,321.61, 131,006.49 and 34,768

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Solution

The fourth proportional to 87,321.61, 131,006.49 and 34,768 is: 52,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,321.61 : 131,006.49 = 34,768 : x
  2. Step 2: Convert to fraction form
    87,321.61/131,006.49 = 34,768/x
  3. Step 3: Cross multiply
    87,321.61x = 131,006.49 × 34,768
  4. Step 4: Simplify right side
    87,321.61x = 4,554,833,644.32
  5. Step 5: Solve for x
    x = 4,554,833,644.32/87,321.61
  6. Step 6: Final answer
    x = 52,161.59

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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.