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Finding the Fourth Proportional to 86,986, 120,042.12 and 47,242

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Solution

The fourth proportional to 86,986, 120,042.12 and 47,242 is: 65,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,986 : 120,042.12 = 47,242 : x
  2. Step 2: Convert to fraction form
    86,986/120,042.12 = 47,242/x
  3. Step 3: Cross multiply
    86,986x = 120,042.12 × 47,242
  4. Step 4: Simplify right side
    86,986x = 5,671,029,833.04
  5. Step 5: Solve for x
    x = 5,671,029,833.04/86,986
  6. Step 6: Final answer
    x = 65,194.74

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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.