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Finding the Fourth Proportional to 206,699.76, 285,112.44 and 142,139.52

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Solution

The fourth proportional to 206,699.76, 285,112.44 and 142,139.52 is: 196,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,699.76 : 285,112.44 = 142,139.52 : x
  2. Step 2: Convert to fraction form
    206,699.76/285,112.44 = 142,139.52/x
  3. Step 3: Cross multiply
    206,699.76x = 285,112.44 × 142,139.52
  4. Step 4: Simplify right side
    206,699.76x = 40,525,745,367.63
  5. Step 5: Solve for x
    x = 40,525,745,367.63/206,699.76
  6. Step 6: Final answer
    x = 196,060.92

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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.