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Finding the Fourth Proportional to 101,811.38, 152,467.84 and 71,751.74

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Solution

The fourth proportional to 101,811.38, 152,467.84 and 71,751.74 is: 107,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811.38 : 152,467.84 = 71,751.74 : x
  2. Step 2: Convert to fraction form
    101,811.38/152,467.84 = 71,751.74/x
  3. Step 3: Cross multiply
    101,811.38x = 152,467.84 × 71,751.74
  4. Step 4: Simplify right side
    101,811.38x = 10,939,832,595.42
  5. Step 5: Solve for x
    x = 10,939,832,595.42/101,811.38
  6. Step 6: Final answer
    x = 107,451.96

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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.