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Finding the Fourth Proportional to 281,187.78, 421,251.93 and 138,866.46

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Solution

The fourth proportional to 281,187.78, 421,251.93 and 138,866.46 is: 208,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,187.78 : 421,251.93 = 138,866.46 : x
  2. Step 2: Convert to fraction form
    281,187.78/421,251.93 = 138,866.46/x
  3. Step 3: Cross multiply
    281,187.78x = 421,251.93 × 138,866.46
  4. Step 4: Simplify right side
    281,187.78x = 58,497,764,287.27
  5. Step 5: Solve for x
    x = 58,497,764,287.27/281,187.78
  6. Step 6: Final answer
    x = 208,038.07

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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.