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Finding the Fourth Proportional to 198,187.80, 297,327.11 and 85,886.87

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Solution

The fourth proportional to 198,187.80, 297,327.11 and 85,886.87 is: 128,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,187.80 : 297,327.11 = 85,886.87 : x
  2. Step 2: Convert to fraction form
    198,187.80/297,327.11 = 85,886.87/x
  3. Step 3: Cross multiply
    198,187.80x = 297,327.11 × 85,886.87
  4. Step 4: Simplify right side
    198,187.80x = 25,536,492,927.98
  5. Step 5: Solve for x
    x = 25,536,492,927.98/198,187.80
  6. Step 6: Final answer
    x = 128,849.98

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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.