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Finding the Fourth Proportional to 126,635.32, 189,882.84 and 51,808

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Solution

The fourth proportional to 126,635.32, 189,882.84 and 51,808 is: 77,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,635.32 : 189,882.84 = 51,808 : x
  2. Step 2: Convert to fraction form
    126,635.32/189,882.84 = 51,808/x
  3. Step 3: Cross multiply
    126,635.32x = 189,882.84 × 51,808
  4. Step 4: Simplify right side
    126,635.32x = 9,837,450,174.72
  5. Step 5: Solve for x
    x = 9,837,450,174.72/126,635.32
  6. Step 6: Final answer
    x = 77,683.30

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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.