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Finding the Fourth Proportional to 87,730, 121,070.32 and 47,986

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Solution

The fourth proportional to 87,730, 121,070.32 and 47,986 is: 66,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,730 : 121,070.32 = 47,986 : x
  2. Step 2: Convert to fraction form
    87,730/121,070.32 = 47,986/x
  3. Step 3: Cross multiply
    87,730x = 121,070.32 × 47,986
  4. Step 4: Simplify right side
    87,730x = 5,809,680,375.52
  5. Step 5: Solve for x
    x = 5,809,680,375.52/87,730
  6. Step 6: Final answer
    x = 66,222.28

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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.