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Finding the Fourth Proportional to 101,951.31, 140,703.90 and 61,687.29

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Solution

The fourth proportional to 101,951.31, 140,703.90 and 61,687.29 is: 85,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,951.31 : 140,703.90 = 61,687.29 : x
  2. Step 2: Convert to fraction form
    101,951.31/140,703.90 = 61,687.29/x
  3. Step 3: Cross multiply
    101,951.31x = 140,703.90 × 61,687.29
  4. Step 4: Simplify right side
    101,951.31x = 8,679,642,283.43
  5. Step 5: Solve for x
    x = 8,679,642,283.43/101,951.31
  6. Step 6: Final answer
    x = 85,135.17

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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.