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Finding the Fourth Proportional to 101,980.98, 140,754 and 65,163.66

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Solution

The fourth proportional to 101,980.98, 140,754 and 65,163.66 is: 89,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.98 : 140,754 = 65,163.66 : x
  2. Step 2: Convert to fraction form
    101,980.98/140,754 = 65,163.66/x
  3. Step 3: Cross multiply
    101,980.98x = 140,754 × 65,163.66
  4. Step 4: Simplify right side
    101,980.98x = 9,172,045,799.64
  5. Step 5: Solve for x
    x = 9,172,045,799.64/101,980.98
  6. Step 6: Final answer
    x = 89,938.79

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1.5x scale

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.