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Finding the Fourth Proportional to 129,593.40, 178,872.24 and 84,384.24

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Solution

The fourth proportional to 129,593.40, 178,872.24 and 84,384.24 is: 116,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,593.40 : 178,872.24 = 84,384.24 : x
  2. Step 2: Convert to fraction form
    129,593.40/178,872.24 = 84,384.24/x
  3. Step 3: Cross multiply
    129,593.40x = 178,872.24 × 84,384.24
  4. Step 4: Simplify right side
    129,593.40x = 15,093,998,029.50
  5. Step 5: Solve for x
    x = 15,093,998,029.50/129,593.40
  6. Step 6: Final answer
    x = 116,471.97

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1.5x scale

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.