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Finding the Fourth Proportional to 198,198.76, 297,343.50 and 85,897.78

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Solution

The fourth proportional to 198,198.76, 297,343.50 and 85,897.78 is: 128,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,198.76 : 297,343.50 = 85,897.78 : x
  2. Step 2: Convert to fraction form
    198,198.76/297,343.50 = 85,897.78/x
  3. Step 3: Cross multiply
    198,198.76x = 297,343.50 × 85,897.78
  4. Step 4: Simplify right side
    198,198.76x = 25,541,146,547.43
  5. Step 5: Solve for x
    x = 25,541,146,547.43/198,198.76
  6. Step 6: Final answer
    x = 128,866.33

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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.