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Finding the Fourth Proportional to 198,000.40, 297,000.60 and 127,141.60

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Solution

The fourth proportional to 198,000.40, 297,000.60 and 127,141.60 is: 190,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,000.40 : 297,000.60 = 127,141.60 : x
  2. Step 2: Convert to fraction form
    198,000.40/297,000.60 = 127,141.60/x
  3. Step 3: Cross multiply
    198,000.40x = 297,000.60 × 127,141.60
  4. Step 4: Simplify right side
    198,000.40x = 37,761,131,484.96
  5. Step 5: Solve for x
    x = 37,761,131,484.96/198,000.40
  6. Step 6: Final answer
    x = 190,712.40

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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.