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Finding the Fourth Proportional to 71,691.23, 107,531.44 and 28,999.37

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Solution

The fourth proportional to 71,691.23, 107,531.44 and 28,999.37 is: 43,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691.23 : 107,531.44 = 28,999.37 : x
  2. Step 2: Convert to fraction form
    71,691.23/107,531.44 = 28,999.37/x
  3. Step 3: Cross multiply
    71,691.23x = 107,531.44 × 28,999.37
  4. Step 4: Simplify right side
    71,691.23x = 3,118,343,332.54
  5. Step 5: Solve for x
    x = 3,118,343,332.54/71,691.23
  6. Step 6: Final answer
    x = 43,496.86

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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.