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Finding the Fourth Proportional to 85,231.72, 127,904.46 and 29,827.72

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Solution

The fourth proportional to 85,231.72, 127,904.46 and 29,827.72 is: 44,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,231.72 : 127,904.46 = 29,827.72 : x
  2. Step 2: Convert to fraction form
    85,231.72/127,904.46 = 29,827.72/x
  3. Step 3: Cross multiply
    85,231.72x = 127,904.46 × 29,827.72
  4. Step 4: Simplify right side
    85,231.72x = 3,815,098,419.63
  5. Step 5: Solve for x
    x = 3,815,098,419.63/85,231.72
  6. Step 6: Final answer
    x = 44,761.49

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1.5x scale

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.