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Finding the Fourth Proportional to 198,607.18, 297,742.83 and 86,202.91

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Solution

The fourth proportional to 198,607.18, 297,742.83 and 86,202.91 is: 129,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,607.18 : 297,742.83 = 86,202.91 : x
  2. Step 2: Convert to fraction form
    198,607.18/297,742.83 = 86,202.91/x
  3. Step 3: Cross multiply
    198,607.18x = 297,742.83 × 86,202.91
  4. Step 4: Simplify right side
    198,607.18x = 25,666,298,377.64
  5. Step 5: Solve for x
    x = 25,666,298,377.64/198,607.18
  6. Step 6: Final answer
    x = 129,231.47

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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.