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Finding the Fourth Proportional to 87,720, 121,056.48 and 47,976

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Solution

The fourth proportional to 87,720, 121,056.48 and 47,976 is: 66,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,720 : 121,056.48 = 47,976 : x
  2. Step 2: Convert to fraction form
    87,720/121,056.48 = 47,976/x
  3. Step 3: Cross multiply
    87,720x = 121,056.48 × 47,976
  4. Step 4: Simplify right side
    87,720x = 5,807,805,684.48
  5. Step 5: Solve for x
    x = 5,807,805,684.48/87,720
  6. Step 6: Final answer
    x = 66,208.46

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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.