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Finding the Fourth Proportional to 203,422.80, 305,134.20 and 98,252.40

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Solution

The fourth proportional to 203,422.80, 305,134.20 and 98,252.40 is: 147,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422.80 : 305,134.20 = 98,252.40 : x
  2. Step 2: Convert to fraction form
    203,422.80/305,134.20 = 98,252.40/x
  3. Step 3: Cross multiply
    203,422.80x = 305,134.20 × 98,252.40
  4. Step 4: Simplify right side
    203,422.80x = 29,980,167,472.08
  5. Step 5: Solve for x
    x = 29,980,167,472.08/203,422.80
  6. Step 6: Final answer
    x = 147,378.60

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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.