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Finding the Fourth Proportional to 159,678.07, 239,517.15 and 64,959.78

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Solution

The fourth proportional to 159,678.07, 239,517.15 and 64,959.78 is: 97,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,678.07 : 239,517.15 = 64,959.78 : x
  2. Step 2: Convert to fraction form
    159,678.07/239,517.15 = 64,959.78/x
  3. Step 3: Cross multiply
    159,678.07x = 239,517.15 × 64,959.78
  4. Step 4: Simplify right side
    159,678.07x = 15,558,982,024.82
  5. Step 5: Solve for x
    x = 15,558,982,024.82/159,678.07
  6. Step 6: Final answer
    x = 97,439.69

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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.