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Finding the Fourth Proportional to 198,659.61, 297,982.74 and 86,339.82

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Solution

The fourth proportional to 198,659.61, 297,982.74 and 86,339.82 is: 129,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,659.61 : 297,982.74 = 86,339.82 : x
  2. Step 2: Convert to fraction form
    198,659.61/297,982.74 = 86,339.82/x
  3. Step 3: Cross multiply
    198,659.61x = 297,982.74 × 86,339.82
  4. Step 4: Simplify right side
    198,659.61x = 25,727,776,134.71
  5. Step 5: Solve for x
    x = 25,727,776,134.71/198,659.61
  6. Step 6: Final answer
    x = 129,506.83

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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.