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Finding the Fourth Proportional to 99,891.20, 149,642.40 and 55,438.40

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Solution

The fourth proportional to 99,891.20, 149,642.40 and 55,438.40 is: 83,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,891.20 : 149,642.40 = 55,438.40 : x
  2. Step 2: Convert to fraction form
    99,891.20/149,642.40 = 55,438.40/x
  3. Step 3: Cross multiply
    99,891.20x = 149,642.40 × 55,438.40
  4. Step 4: Simplify right side
    99,891.20x = 8,295,935,228.16
  5. Step 5: Solve for x
    x = 8,295,935,228.16/99,891.20
  6. Step 6: Final answer
    x = 83,049.71

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1.5x scale

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.