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Finding the Fourth Proportional to 85,267.62, 127,904.81 and 31,954.03

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Solution

The fourth proportional to 85,267.62, 127,904.81 and 31,954.03 is: 47,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,267.62 : 127,904.81 = 31,954.03 : x
  2. Step 2: Convert to fraction form
    85,267.62/127,904.81 = 31,954.03/x
  3. Step 3: Cross multiply
    85,267.62x = 127,904.81 × 31,954.03
  4. Step 4: Simplify right side
    85,267.62x = 4,087,073,656.35
  5. Step 5: Solve for x
    x = 4,087,073,656.35/85,267.62
  6. Step 6: Final answer
    x = 47,932.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.