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Finding the Fourth Proportional to 85,269.80, 127,831.76 and 32,717

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Solution

The fourth proportional to 85,269.80, 127,831.76 and 32,717 is: 49,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,269.80 : 127,831.76 = 32,717 : x
  2. Step 2: Convert to fraction form
    85,269.80/127,831.76 = 32,717/x
  3. Step 3: Cross multiply
    85,269.80x = 127,831.76 × 32,717
  4. Step 4: Simplify right side
    85,269.80x = 4,182,271,691.92
  5. Step 5: Solve for x
    x = 4,182,271,691.92/85,269.80
  6. Step 6: Final answer
    x = 49,047.51

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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.