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Finding the Fourth Proportional to 137,956.24, 206,803.12 and 87,895.80

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Solution

The fourth proportional to 137,956.24, 206,803.12 and 87,895.80 is: 131,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,956.24 : 206,803.12 = 87,895.80 : x
  2. Step 2: Convert to fraction form
    137,956.24/206,803.12 = 87,895.80/x
  3. Step 3: Cross multiply
    137,956.24x = 206,803.12 × 87,895.80
  4. Step 4: Simplify right side
    137,956.24x = 18,177,125,674.90
  5. Step 5: Solve for x
    x = 18,177,125,674.90/137,956.24
  6. Step 6: Final answer
    x = 131,760.08

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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.