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Finding the Fourth Proportional to 101,566.18, 140,138.13 and 65,286.58

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Solution

The fourth proportional to 101,566.18, 140,138.13 and 65,286.58 is: 90,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,566.18 : 140,138.13 = 65,286.58 : x
  2. Step 2: Convert to fraction form
    101,566.18/140,138.13 = 65,286.58/x
  3. Step 3: Cross multiply
    101,566.18x = 140,138.13 × 65,286.58
  4. Step 4: Simplify right side
    101,566.18x = 9,149,139,235.30
  5. Step 5: Solve for x
    x = 9,149,139,235.30/101,566.18
  6. Step 6: Final answer
    x = 90,080.57

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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.