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Finding the Fourth Proportional to 105,479.28, 158,198.76 and 31,607.28

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Solution

The fourth proportional to 105,479.28, 158,198.76 and 31,607.28 is: 47,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,479.28 : 158,198.76 = 31,607.28 : x
  2. Step 2: Convert to fraction form
    105,479.28/158,198.76 = 31,607.28/x
  3. Step 3: Cross multiply
    105,479.28x = 158,198.76 × 31,607.28
  4. Step 4: Simplify right side
    105,479.28x = 5,000,232,502.97
  5. Step 5: Solve for x
    x = 5,000,232,502.97/105,479.28
  6. Step 6: Final answer
    x = 47,404.88

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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.