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Finding the Fourth Proportional to 101,943.19, 140,681.61 and 57,231.19

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Solution

The fourth proportional to 101,943.19, 140,681.61 and 57,231.19 is: 78,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943.19 : 140,681.61 = 57,231.19 : x
  2. Step 2: Convert to fraction form
    101,943.19/140,681.61 = 57,231.19/x
  3. Step 3: Cross multiply
    101,943.19x = 140,681.61 × 57,231.19
  4. Step 4: Simplify right side
    101,943.19x = 8,051,375,665.26
  5. Step 5: Solve for x
    x = 8,051,375,665.26/101,943.19
  6. Step 6: Final answer
    x = 78,979.04

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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.