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Finding the Fourth Proportional to 85,125.94, 127,644.57 and 31,774.05

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Solution

The fourth proportional to 85,125.94, 127,644.57 and 31,774.05 is: 47,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,125.94 : 127,644.57 = 31,774.05 : x
  2. Step 2: Convert to fraction form
    85,125.94/127,644.57 = 31,774.05/x
  3. Step 3: Cross multiply
    85,125.94x = 127,644.57 × 31,774.05
  4. Step 4: Simplify right side
    85,125.94x = 4,055,784,311.19
  5. Step 5: Solve for x
    x = 4,055,784,311.19/85,125.94
  6. Step 6: Final answer
    x = 47,644.52

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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.