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Finding the Fourth Proportional to 71,493.36, 98,649.72 and 40,866

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Solution

The fourth proportional to 71,493.36, 98,649.72 and 40,866 is: 56,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,493.36 : 98,649.72 = 40,866 : x
  2. Step 2: Convert to fraction form
    71,493.36/98,649.72 = 40,866/x
  3. Step 3: Cross multiply
    71,493.36x = 98,649.72 × 40,866
  4. Step 4: Simplify right side
    71,493.36x = 4,031,419,457.52
  5. Step 5: Solve for x
    x = 4,031,419,457.52/71,493.36
  6. Step 6: Final answer
    x = 56,388.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.