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Finding the Fourth Proportional to 81,732, 122,627.52 and 40,208.16

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Solution

The fourth proportional to 81,732, 122,627.52 and 40,208.16 is: 60,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,732 : 122,627.52 = 40,208.16 : x
  2. Step 2: Convert to fraction form
    81,732/122,627.52 = 40,208.16/x
  3. Step 3: Cross multiply
    81,732x = 122,627.52 × 40,208.16
  4. Step 4: Simplify right side
    81,732x = 4,930,626,944.56
  5. Step 5: Solve for x
    x = 4,930,626,944.56/81,732
  6. Step 6: Final answer
    x = 60,326.76

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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.