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Finding the Fourth Proportional to 87,824, 121,197.12 and 48,080

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Solution

The fourth proportional to 87,824, 121,197.12 and 48,080 is: 66,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,824 : 121,197.12 = 48,080 : x
  2. Step 2: Convert to fraction form
    87,824/121,197.12 = 48,080/x
  3. Step 3: Cross multiply
    87,824x = 121,197.12 × 48,080
  4. Step 4: Simplify right side
    87,824x = 5,827,157,529.60
  5. Step 5: Solve for x
    x = 5,827,157,529.60/87,824
  6. Step 6: Final answer
    x = 66,350.40

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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.