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Finding the Fourth Proportional to 101,961.36, 140,702.67 and 56,642.22

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Solution

The fourth proportional to 101,961.36, 140,702.67 and 56,642.22 is: 78,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,961.36 : 140,702.67 = 56,642.22 : x
  2. Step 2: Convert to fraction form
    101,961.36/140,702.67 = 56,642.22/x
  3. Step 3: Cross multiply
    101,961.36x = 140,702.67 × 56,642.22
  4. Step 4: Simplify right side
    101,961.36x = 7,969,711,588.73
  5. Step 5: Solve for x
    x = 7,969,711,588.73/101,961.36
  6. Step 6: Final answer
    x = 78,164.04

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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.