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Finding the Fourth Proportional to 205,860.54, 308,471.97 and 142,803.30

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Solution

The fourth proportional to 205,860.54, 308,471.97 and 142,803.30 is: 213,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,860.54 : 308,471.97 = 142,803.30 : x
  2. Step 2: Convert to fraction form
    205,860.54/308,471.97 = 142,803.30/x
  3. Step 3: Cross multiply
    205,860.54x = 308,471.97 × 142,803.30
  4. Step 4: Simplify right side
    205,860.54x = 44,050,815,273.50
  5. Step 5: Solve for x
    x = 44,050,815,273.50/205,860.54
  6. Step 6: Final answer
    x = 213,983.77

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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.