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Finding the Fourth Proportional to 204,475.59, 306,762.59 and 86,180.76

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Solution

The fourth proportional to 204,475.59, 306,762.59 and 86,180.76 is: 129,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,475.59 : 306,762.59 = 86,180.76 : x
  2. Step 2: Convert to fraction form
    204,475.59/306,762.59 = 86,180.76/x
  3. Step 3: Cross multiply
    204,475.59x = 306,762.59 × 86,180.76
  4. Step 4: Simplify right side
    204,475.59x = 26,437,033,361.22
  5. Step 5: Solve for x
    x = 26,437,033,361.22/204,475.59
  6. Step 6: Final answer
    x = 129,291.88

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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.