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Finding the Fourth Proportional to 149,012.80, 223,459.80 and 49,145.20

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Solution

The fourth proportional to 149,012.80, 223,459.80 and 49,145.20 is: 73,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,012.80 : 223,459.80 = 49,145.20 : x
  2. Step 2: Convert to fraction form
    149,012.80/223,459.80 = 49,145.20/x
  3. Step 3: Cross multiply
    149,012.80x = 223,459.80 × 49,145.20
  4. Step 4: Simplify right side
    149,012.80x = 10,981,976,562.96
  5. Step 5: Solve for x
    x = 10,981,976,562.96/149,012.80
  6. Step 6: Final answer
    x = 73,698.21

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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.