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Finding the Fourth Proportional to 71,760.42, 107,655.16 and 40,215.48

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Solution

The fourth proportional to 71,760.42, 107,655.16 and 40,215.48 is: 60,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.42 : 107,655.16 = 40,215.48 : x
  2. Step 2: Convert to fraction form
    71,760.42/107,655.16 = 40,215.48/x
  3. Step 3: Cross multiply
    71,760.42x = 107,655.16 × 40,215.48
  4. Step 4: Simplify right side
    71,760.42x = 4,329,403,933.88
  5. Step 5: Solve for x
    x = 4,329,403,933.88/71,760.42
  6. Step 6: Final answer
    x = 60,331.36

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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.