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Finding the Fourth Proportional to 239,651.86, 330,758.34 and 142,867.59

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Solution

The fourth proportional to 239,651.86, 330,758.34 and 142,867.59 is: 197,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,651.86 : 330,758.34 = 142,867.59 : x
  2. Step 2: Convert to fraction form
    239,651.86/330,758.34 = 142,867.59/x
  3. Step 3: Cross multiply
    239,651.86x = 330,758.34 × 142,867.59
  4. Step 4: Simplify right side
    239,651.86x = 47,254,646,908.20
  5. Step 5: Solve for x
    x = 47,254,646,908.20/239,651.86
  6. Step 6: Final answer
    x = 197,180.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.