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Finding the Fourth Proportional to 159,362.88, 239,452.32 and 120,288

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Solution

The fourth proportional to 159,362.88, 239,452.32 and 120,288 is: 180,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,362.88 : 239,452.32 = 120,288 : x
  2. Step 2: Convert to fraction form
    159,362.88/239,452.32 = 120,288/x
  3. Step 3: Cross multiply
    159,362.88x = 239,452.32 × 120,288
  4. Step 4: Simplify right side
    159,362.88x = 28,803,240,668.16
  5. Step 5: Solve for x
    x = 28,803,240,668.16/159,362.88
  6. Step 6: Final answer
    x = 180,739.96

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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.