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Finding the Fourth Proportional to 198,281.66, 297,456.34 and 78,275.84

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Solution

The fourth proportional to 198,281.66, 297,456.34 and 78,275.84 is: 117,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,281.66 : 297,456.34 = 78,275.84 : x
  2. Step 2: Convert to fraction form
    198,281.66/297,456.34 = 78,275.84/x
  3. Step 3: Cross multiply
    198,281.66x = 297,456.34 × 78,275.84
  4. Step 4: Simplify right side
    198,281.66x = 23,283,645,740.33
  5. Step 5: Solve for x
    x = 23,283,645,740.33/198,281.66
  6. Step 6: Final answer
    x = 117,427.13

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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.