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Finding the Fourth Proportional to 159,439.74, 239,189.03 and 65,952.78

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Solution

The fourth proportional to 159,439.74, 239,189.03 and 65,952.78 is: 98,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,439.74 : 239,189.03 = 65,952.78 : x
  2. Step 2: Convert to fraction form
    159,439.74/239,189.03 = 65,952.78/x
  3. Step 3: Cross multiply
    159,439.74x = 239,189.03 × 65,952.78
  4. Step 4: Simplify right side
    159,439.74x = 15,775,181,474.00
  5. Step 5: Solve for x
    x = 15,775,181,474.00/159,439.74
  6. Step 6: Final answer
    x = 98,941.34

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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.