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Finding the Fourth Proportional to 101,959.56, 140,699.63 and 56,640.67

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Solution

The fourth proportional to 101,959.56, 140,699.63 and 56,640.67 is: 78,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959.56 : 140,699.63 = 56,640.67 : x
  2. Step 2: Convert to fraction form
    101,959.56/140,699.63 = 56,640.67/x
  3. Step 3: Cross multiply
    101,959.56x = 140,699.63 × 56,640.67
  4. Step 4: Simplify right side
    101,959.56x = 7,969,321,101.80
  5. Step 5: Solve for x
    x = 7,969,321,101.80/101,959.56
  6. Step 6: Final answer
    x = 78,161.59

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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.