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Finding the Fourth Proportional to 101,943.44, 140,681.95 and 57,231.44

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Solution

The fourth proportional to 101,943.44, 140,681.95 and 57,231.44 is: 78,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943.44 : 140,681.95 = 57,231.44 : x
  2. Step 2: Convert to fraction form
    101,943.44/140,681.95 = 57,231.44/x
  3. Step 3: Cross multiply
    101,943.44x = 140,681.95 × 57,231.44
  4. Step 4: Simplify right side
    101,943.44x = 8,051,430,580.51
  5. Step 5: Solve for x
    x = 8,051,430,580.51/101,943.44
  6. Step 6: Final answer
    x = 78,979.39

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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.