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Finding the Fourth Proportional to 106,383.40, 159,632.70 and 47,228.20

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Solution

The fourth proportional to 106,383.40, 159,632.70 and 47,228.20 is: 70,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,383.40 : 159,632.70 = 47,228.20 : x
  2. Step 2: Convert to fraction form
    106,383.40/159,632.70 = 47,228.20/x
  3. Step 3: Cross multiply
    106,383.40x = 159,632.70 × 47,228.20
  4. Step 4: Simplify right side
    106,383.40x = 7,539,165,082.14
  5. Step 5: Solve for x
    x = 7,539,165,082.14/106,383.40
  6. Step 6: Final answer
    x = 70,867.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.