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Finding the Fourth Proportional to 137,098.20, 205,355.70 and 113,770.20

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Solution

The fourth proportional to 137,098.20, 205,355.70 and 113,770.20 is: 170,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.20 : 205,355.70 = 113,770.20 : x
  2. Step 2: Convert to fraction form
    137,098.20/205,355.70 = 113,770.20/x
  3. Step 3: Cross multiply
    137,098.20x = 205,355.70 × 113,770.20
  4. Step 4: Simplify right side
    137,098.20x = 23,363,359,060.14
  5. Step 5: Solve for x
    x = 23,363,359,060.14/137,098.20
  6. Step 6: Final answer
    x = 170,413.32

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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.