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Finding the Fourth Proportional to 159,775.80, 239,417.34 and 78,629.70

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Solution

The fourth proportional to 159,775.80, 239,417.34 and 78,629.70 is: 117,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,775.80 : 239,417.34 = 78,629.70 : x
  2. Step 2: Convert to fraction form
    159,775.80/239,417.34 = 78,629.70/x
  3. Step 3: Cross multiply
    159,775.80x = 239,417.34 × 78,629.70
  4. Step 4: Simplify right side
    159,775.80x = 18,825,313,619.00
  5. Step 5: Solve for x
    x = 18,825,313,619.00/159,775.80
  6. Step 6: Final answer
    x = 117,823.31

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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.