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Finding the Fourth Proportional to 123,840.26, 170,951.87 and 83,608.51

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Solution

The fourth proportional to 123,840.26, 170,951.87 and 83,608.51 is: 115,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,840.26 : 170,951.87 = 83,608.51 : x
  2. Step 2: Convert to fraction form
    123,840.26/170,951.87 = 83,608.51/x
  3. Step 3: Cross multiply
    123,840.26x = 170,951.87 × 83,608.51
  4. Step 4: Simplify right side
    123,840.26x = 14,293,031,132.41
  5. Step 5: Solve for x
    x = 14,293,031,132.41/123,840.26
  6. Step 6: Final answer
    x = 115,415.06

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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.