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Finding the Fourth Proportional to 159,868.64, 239,629.68 and 78,872

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Solution

The fourth proportional to 159,868.64, 239,629.68 and 78,872 is: 118,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,868.64 : 239,629.68 = 78,872 : x
  2. Step 2: Convert to fraction form
    159,868.64/239,629.68 = 78,872/x
  3. Step 3: Cross multiply
    159,868.64x = 239,629.68 × 78,872
  4. Step 4: Simplify right side
    159,868.64x = 18,900,072,120.96
  5. Step 5: Solve for x
    x = 18,900,072,120.96/159,868.64
  6. Step 6: Final answer
    x = 118,222.51

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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.