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Finding the Fourth Proportional to 135,568, 203,422.91 and 98,434.79

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Solution

The fourth proportional to 135,568, 203,422.91 and 98,434.79 is: 147,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,568 : 203,422.91 = 98,434.79 : x
  2. Step 2: Convert to fraction form
    135,568/203,422.91 = 98,434.79/x
  3. Step 3: Cross multiply
    135,568x = 203,422.91 × 98,434.79
  4. Step 4: Simplify right side
    135,568x = 20,023,891,427.04
  5. Step 5: Solve for x
    x = 20,023,891,427.04/135,568
  6. Step 6: Final answer
    x = 147,703.67

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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.