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Finding the Fourth Proportional to 181,273.52, 250,139.40 and 105,866

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Solution

The fourth proportional to 181,273.52, 250,139.40 and 105,866 is: 146,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,273.52 : 250,139.40 = 105,866 : x
  2. Step 2: Convert to fraction form
    181,273.52/250,139.40 = 105,866/x
  3. Step 3: Cross multiply
    181,273.52x = 250,139.40 × 105,866
  4. Step 4: Simplify right side
    181,273.52x = 26,481,257,720.40
  5. Step 5: Solve for x
    x = 26,481,257,720.40/181,273.52
  6. Step 6: Final answer
    x = 146,084.53

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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.