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Finding the Fourth Proportional to 102,961, 142,085.22 and 58,249

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Solution

The fourth proportional to 102,961, 142,085.22 and 58,249 is: 80,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,961 : 142,085.22 = 58,249 : x
  2. Step 2: Convert to fraction form
    102,961/142,085.22 = 58,249/x
  3. Step 3: Cross multiply
    102,961x = 142,085.22 × 58,249
  4. Step 4: Simplify right side
    102,961x = 8,276,321,979.78
  5. Step 5: Solve for x
    x = 8,276,321,979.78/102,961
  6. Step 6: Final answer
    x = 80,383.08

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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.