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Finding the Fourth Proportional to 198,574.24, 297,944.40 and 86,348.85

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Solution

The fourth proportional to 198,574.24, 297,944.40 and 86,348.85 is: 129,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,574.24 : 297,944.40 = 86,348.85 : x
  2. Step 2: Convert to fraction form
    198,574.24/297,944.40 = 86,348.85/x
  3. Step 3: Cross multiply
    198,574.24x = 297,944.40 × 86,348.85
  4. Step 4: Simplify right side
    198,574.24x = 25,727,156,303.94
  5. Step 5: Solve for x
    x = 25,727,156,303.94/198,574.24
  6. Step 6: Final answer
    x = 129,559.38

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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.