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Finding the Fourth Proportional to 142,480.90, 213,721.35 and 136,413.70

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Solution

The fourth proportional to 142,480.90, 213,721.35 and 136,413.70 is: 204,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,480.90 : 213,721.35 = 136,413.70 : x
  2. Step 2: Convert to fraction form
    142,480.90/213,721.35 = 136,413.70/x
  3. Step 3: Cross multiply
    142,480.90x = 213,721.35 × 136,413.70
  4. Step 4: Simplify right side
    142,480.90x = 29,154,520,122.50
  5. Step 5: Solve for x
    x = 29,154,520,122.50/142,480.90
  6. Step 6: Final answer
    x = 204,620.55

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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.