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Finding the Fourth Proportional to 87,876.40, 121,268.40 and 47,589.40

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Solution

The fourth proportional to 87,876.40, 121,268.40 and 47,589.40 is: 65,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,876.40 : 121,268.40 = 47,589.40 : x
  2. Step 2: Convert to fraction form
    87,876.40/121,268.40 = 47,589.40/x
  3. Step 3: Cross multiply
    87,876.40x = 121,268.40 × 47,589.40
  4. Step 4: Simplify right side
    87,876.40x = 5,771,090,394.96
  5. Step 5: Solve for x
    x = 5,771,090,394.96/87,876.40
  6. Step 6: Final answer
    x = 65,672.81

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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.