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Finding the Fourth Proportional to 131,413.20, 197,011.80 and 56,590.80

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Solution

The fourth proportional to 131,413.20, 197,011.80 and 56,590.80 is: 84,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,413.20 : 197,011.80 = 56,590.80 : x
  2. Step 2: Convert to fraction form
    131,413.20/197,011.80 = 56,590.80/x
  3. Step 3: Cross multiply
    131,413.20x = 197,011.80 × 56,590.80
  4. Step 4: Simplify right side
    131,413.20x = 11,149,055,371.44
  5. Step 5: Solve for x
    x = 11,149,055,371.44/131,413.20
  6. Step 6: Final answer
    x = 84,839.69

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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.