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Finding the Fourth Proportional to 198,498.88, 297,747.60 and 86,164.44

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Solution

The fourth proportional to 198,498.88, 297,747.60 and 86,164.44 is: 129,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,498.88 : 297,747.60 = 86,164.44 : x
  2. Step 2: Convert to fraction form
    198,498.88/297,747.60 = 86,164.44/x
  3. Step 3: Cross multiply
    198,498.88x = 297,747.60 × 86,164.44
  4. Step 4: Simplify right side
    198,498.88x = 25,655,255,215.34
  5. Step 5: Solve for x
    x = 25,655,255,215.34/198,498.88
  6. Step 6: Final answer
    x = 129,246.35

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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.