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Finding the Fourth Proportional to 85,425.12, 117,865.44 and 74,076.48

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Solution

The fourth proportional to 85,425.12, 117,865.44 and 74,076.48 is: 102,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,425.12 : 117,865.44 = 74,076.48 : x
  2. Step 2: Convert to fraction form
    85,425.12/117,865.44 = 74,076.48/x
  3. Step 3: Cross multiply
    85,425.12x = 117,865.44 × 74,076.48
  4. Step 4: Simplify right side
    85,425.12x = 8,731,056,908.85
  5. Step 5: Solve for x
    x = 8,731,056,908.85/85,425.12
  6. Step 6: Final answer
    x = 102,207.14

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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.