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Finding the Fourth Proportional to 94,176, 129,974.40 and 54,432

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Solution

The fourth proportional to 94,176, 129,974.40 and 54,432 is: 75,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,176 : 129,974.40 = 54,432 : x
  2. Step 2: Convert to fraction form
    94,176/129,974.40 = 54,432/x
  3. Step 3: Cross multiply
    94,176x = 129,974.40 × 54,432
  4. Step 4: Simplify right side
    94,176x = 7,074,766,540.80
  5. Step 5: Solve for x
    x = 7,074,766,540.80/94,176
  6. Step 6: Final answer
    x = 75,122.82

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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.