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Finding the Fourth Proportional to 71,530.48, 107,047.86 and 43,436.44

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Solution

The fourth proportional to 71,530.48, 107,047.86 and 43,436.44 is: 65,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.48 : 107,047.86 = 43,436.44 : x
  2. Step 2: Convert to fraction form
    71,530.48/107,047.86 = 43,436.44/x
  3. Step 3: Cross multiply
    71,530.48x = 107,047.86 × 43,436.44
  4. Step 4: Simplify right side
    71,530.48x = 4,649,777,948.02
  5. Step 5: Solve for x
    x = 4,649,777,948.02/71,530.48
  6. Step 6: Final answer
    x = 65,004.15

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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.