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Finding the Fourth Proportional to 90,343.74, 135,509.13 and 28,012.62

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Solution

The fourth proportional to 90,343.74, 135,509.13 and 28,012.62 is: 42,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,343.74 : 135,509.13 = 28,012.62 : x
  2. Step 2: Convert to fraction form
    90,343.74/135,509.13 = 28,012.62/x
  3. Step 3: Cross multiply
    90,343.74x = 135,509.13 × 28,012.62
  4. Step 4: Simplify right side
    90,343.74x = 3,795,965,765.22
  5. Step 5: Solve for x
    x = 3,795,965,765.22/90,343.74
  6. Step 6: Final answer
    x = 42,016.92

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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.