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Finding the Fourth Proportional to 47,978.11, 66,188.39 and 27,823.32

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Solution

The fourth proportional to 47,978.11, 66,188.39 and 27,823.32 is: 38,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.11 : 66,188.39 = 27,823.32 : x
  2. Step 2: Convert to fraction form
    47,978.11/66,188.39 = 27,823.32/x
  3. Step 3: Cross multiply
    47,978.11x = 66,188.39 × 27,823.32
  4. Step 4: Simplify right side
    47,978.11x = 1,841,580,755.25
  5. Step 5: Solve for x
    x = 1,841,580,755.25/47,978.11
  6. Step 6: Final answer
    x = 38,383.77

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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.