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Finding the Fourth Proportional to 31,842.80, 47,764.20 and 26,205.20

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Solution

The fourth proportional to 31,842.80, 47,764.20 and 26,205.20 is: 39,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.80 : 47,764.20 = 26,205.20 : x
  2. Step 2: Convert to fraction form
    31,842.80/47,764.20 = 26,205.20/x
  3. Step 3: Cross multiply
    31,842.80x = 47,764.20 × 26,205.20
  4. Step 4: Simplify right side
    31,842.80x = 1,251,670,413.84
  5. Step 5: Solve for x
    x = 1,251,670,413.84/31,842.80
  6. Step 6: Final answer
    x = 39,307.80

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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.