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Finding the Fourth Proportional to 203,453.91, 305,082.45 and 70,287.48

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Solution

The fourth proportional to 203,453.91, 305,082.45 and 70,287.48 is: 105,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,453.91 : 305,082.45 = 70,287.48 : x
  2. Step 2: Convert to fraction form
    203,453.91/305,082.45 = 70,287.48/x
  3. Step 3: Cross multiply
    203,453.91x = 305,082.45 × 70,287.48
  4. Step 4: Simplify right side
    203,453.91x = 21,443,476,602.73
  5. Step 5: Solve for x
    x = 21,443,476,602.73/203,453.91
  6. Step 6: Final answer
    x = 105,397.22

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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.