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Finding the Fourth Proportional to 84,308.64, 126,413.60 and 31,722.24

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Solution

The fourth proportional to 84,308.64, 126,413.60 and 31,722.24 is: 47,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,308.64 : 126,413.60 = 31,722.24 : x
  2. Step 2: Convert to fraction form
    84,308.64/126,413.60 = 31,722.24/x
  3. Step 3: Cross multiply
    84,308.64x = 126,413.60 × 31,722.24
  4. Step 4: Simplify right side
    84,308.64x = 4,010,122,558.46
  5. Step 5: Solve for x
    x = 4,010,122,558.46/84,308.64
  6. Step 6: Final answer
    x = 47,564.79

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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.