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Finding the Fourth Proportional to 71,357.76, 106,944 and 29,188.80

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Solution

The fourth proportional to 71,357.76, 106,944 and 29,188.80 is: 43,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,357.76 : 106,944 = 29,188.80 : x
  2. Step 2: Convert to fraction form
    71,357.76/106,944 = 29,188.80/x
  3. Step 3: Cross multiply
    71,357.76x = 106,944 × 29,188.80
  4. Step 4: Simplify right side
    71,357.76x = 3,121,567,027.20
  5. Step 5: Solve for x
    x = 3,121,567,027.20/71,357.76
  6. Step 6: Final answer
    x = 43,745.31

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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.