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Finding the Fourth Proportional to 123,873.21, 170,997.35 and 83,641.46

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Solution

The fourth proportional to 123,873.21, 170,997.35 and 83,641.46 is: 115,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,873.21 : 170,997.35 = 83,641.46 : x
  2. Step 2: Convert to fraction form
    123,873.21/170,997.35 = 83,641.46/x
  3. Step 3: Cross multiply
    123,873.21x = 170,997.35 × 83,641.46
  4. Step 4: Simplify right side
    123,873.21x = 14,302,466,736.94
  5. Step 5: Solve for x
    x = 14,302,466,736.94/123,873.21
  6. Step 6: Final answer
    x = 115,460.53

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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.