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Finding the Fourth Proportional to 159,438.40, 220,040.52 and 119,082.10

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Solution

The fourth proportional to 159,438.40, 220,040.52 and 119,082.10 is: 164,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,438.40 : 220,040.52 = 119,082.10 : x
  2. Step 2: Convert to fraction form
    159,438.40/220,040.52 = 119,082.10/x
  3. Step 3: Cross multiply
    159,438.40x = 220,040.52 × 119,082.10
  4. Step 4: Simplify right side
    159,438.40x = 26,202,887,206.69
  5. Step 5: Solve for x
    x = 26,202,887,206.69/159,438.40
  6. Step 6: Final answer
    x = 164,344.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.