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Finding the Fourth Proportional to 47,990.96, 66,228 and 27,860

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Solution

The fourth proportional to 47,990.96, 66,228 and 27,860 is: 38,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,990.96 : 66,228 = 27,860 : x
  2. Step 2: Convert to fraction form
    47,990.96/66,228 = 27,860/x
  3. Step 3: Cross multiply
    47,990.96x = 66,228 × 27,860
  4. Step 4: Simplify right side
    47,990.96x = 1,845,112,080
  5. Step 5: Solve for x
    x = 1,845,112,080/47,990.96
  6. Step 6: Final answer
    x = 38,447.08

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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.