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Finding the Fourth Proportional to 159,288.40, 238,961.40 and 80,203.60

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Solution

The fourth proportional to 159,288.40, 238,961.40 and 80,203.60 is: 120,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,288.40 : 238,961.40 = 80,203.60 : x
  2. Step 2: Convert to fraction form
    159,288.40/238,961.40 = 80,203.60/x
  3. Step 3: Cross multiply
    159,288.40x = 238,961.40 × 80,203.60
  4. Step 4: Simplify right side
    159,288.40x = 19,165,564,541.04
  5. Step 5: Solve for x
    x = 19,165,564,541.04/159,288.40
  6. Step 6: Final answer
    x = 120,319.90

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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.