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Finding the Fourth Proportional to 136,413.72, 188,260.40 and 82,701

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Solution

The fourth proportional to 136,413.72, 188,260.40 and 82,701 is: 114,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,413.72 : 188,260.40 = 82,701 : x
  2. Step 2: Convert to fraction form
    136,413.72/188,260.40 = 82,701/x
  3. Step 3: Cross multiply
    136,413.72x = 188,260.40 × 82,701
  4. Step 4: Simplify right side
    136,413.72x = 15,569,323,340.40
  5. Step 5: Solve for x
    x = 15,569,323,340.40/136,413.72
  6. Step 6: Final answer
    x = 114,133.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.