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Finding the Fourth Proportional to 87,176, 120,302.88 and 47,432

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Solution

The fourth proportional to 87,176, 120,302.88 and 47,432 is: 65,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,176 : 120,302.88 = 47,432 : x
  2. Step 2: Convert to fraction form
    87,176/120,302.88 = 47,432/x
  3. Step 3: Cross multiply
    87,176x = 120,302.88 × 47,432
  4. Step 4: Simplify right side
    87,176x = 5,706,206,204.16
  5. Step 5: Solve for x
    x = 5,706,206,204.16/87,176
  6. Step 6: Final answer
    x = 65,456.16

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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.