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Finding the Fourth Proportional to 281,358.77, 422,082.27 and 91,775.37

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Solution

The fourth proportional to 281,358.77, 422,082.27 and 91,775.37 is: 137,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,358.77 : 422,082.27 = 91,775.37 : x
  2. Step 2: Convert to fraction form
    281,358.77/422,082.27 = 91,775.37/x
  3. Step 3: Cross multiply
    281,358.77x = 422,082.27 × 91,775.37
  4. Step 4: Simplify right side
    281,358.77x = 38,736,754,856.61
  5. Step 5: Solve for x
    x = 38,736,754,856.61/281,358.77
  6. Step 6: Final answer
    x = 137,677.44

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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.