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Finding the Fourth Proportional to 198,002.40, 296,930.70 and 98,129.40

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Solution

The fourth proportional to 198,002.40, 296,930.70 and 98,129.40 is: 147,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,002.40 : 296,930.70 = 98,129.40 : x
  2. Step 2: Convert to fraction form
    198,002.40/296,930.70 = 98,129.40/x
  3. Step 3: Cross multiply
    198,002.40x = 296,930.70 × 98,129.40
  4. Step 4: Simplify right side
    198,002.40x = 29,137,631,432.58
  5. Step 5: Solve for x
    x = 29,137,631,432.58/198,002.40
  6. Step 6: Final answer
    x = 147,157.97

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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.