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Finding the Fourth Proportional to 87,964, 121,398 and 48,227.68

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Solution

The fourth proportional to 87,964, 121,398 and 48,227.68 is: 66,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,964 : 121,398 = 48,227.68 : x
  2. Step 2: Convert to fraction form
    87,964/121,398 = 48,227.68/x
  3. Step 3: Cross multiply
    87,964x = 121,398 × 48,227.68
  4. Step 4: Simplify right side
    87,964x = 5,854,743,896.64
  5. Step 5: Solve for x
    x = 5,854,743,896.64/87,964
  6. Step 6: Final answer
    x = 66,558.41

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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.