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Finding the Fourth Proportional to 47,857, 66,042.66 and 27,985

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Solution

The fourth proportional to 47,857, 66,042.66 and 27,985 is: 38,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857 : 66,042.66 = 27,985 : x
  2. Step 2: Convert to fraction form
    47,857/66,042.66 = 27,985/x
  3. Step 3: Cross multiply
    47,857x = 66,042.66 × 27,985
  4. Step 4: Simplify right side
    47,857x = 1,848,203,840.10
  5. Step 5: Solve for x
    x = 1,848,203,840.10/47,857
  6. Step 6: Final answer
    x = 38,619.30

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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.