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Finding the Fourth Proportional to 204,477.59, 306,765.59 and 86,182.76

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Solution

The fourth proportional to 204,477.59, 306,765.59 and 86,182.76 is: 129,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,477.59 : 306,765.59 = 86,182.76 : x
  2. Step 2: Convert to fraction form
    204,477.59/306,765.59 = 86,182.76/x
  3. Step 3: Cross multiply
    204,477.59x = 306,765.59 × 86,182.76
  4. Step 4: Simplify right side
    204,477.59x = 26,437,905,219.23
  5. Step 5: Solve for x
    x = 26,437,905,219.23/204,477.59
  6. Step 6: Final answer
    x = 129,294.88

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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.