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Finding the Fourth Proportional to 150,138.42, 207,209.82 and 98,498.88

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Solution

The fourth proportional to 150,138.42, 207,209.82 and 98,498.88 is: 135,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138.42 : 207,209.82 = 98,498.88 : x
  2. Step 2: Convert to fraction form
    150,138.42/207,209.82 = 98,498.88/x
  3. Step 3: Cross multiply
    150,138.42x = 207,209.82 × 98,498.88
  4. Step 4: Simplify right side
    150,138.42x = 20,409,935,195.00
  5. Step 5: Solve for x
    x = 20,409,935,195.00/150,138.42
  6. Step 6: Final answer
    x = 135,940.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.