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Finding the Fourth Proportional to 87,731, 121,071.70 and 47,987

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Solution

The fourth proportional to 87,731, 121,071.70 and 47,987 is: 66,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,731 : 121,071.70 = 47,987 : x
  2. Step 2: Convert to fraction form
    87,731/121,071.70 = 47,987/x
  3. Step 3: Cross multiply
    87,731x = 121,071.70 × 47,987
  4. Step 4: Simplify right side
    87,731x = 5,809,867,667.90
  5. Step 5: Solve for x
    x = 5,809,867,667.90/87,731
  6. Step 6: Final answer
    x = 66,223.66

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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.