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Finding the Fourth Proportional to 239,852.16, 359,784 and 82,079.52

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Solution

The fourth proportional to 239,852.16, 359,784 and 82,079.52 is: 123,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,852.16 : 359,784 = 82,079.52 : x
  2. Step 2: Convert to fraction form
    239,852.16/359,784 = 82,079.52/x
  3. Step 3: Cross multiply
    239,852.16x = 359,784 × 82,079.52
  4. Step 4: Simplify right side
    239,852.16x = 29,530,898,023.68
  5. Step 5: Solve for x
    x = 29,530,898,023.68/239,852.16
  6. Step 6: Final answer
    x = 123,121.25

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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.