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Finding the Fourth Proportional to 101,522.62, 140,039.91 and 65,211.83

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Solution

The fourth proportional to 101,522.62, 140,039.91 and 65,211.83 is: 89,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,522.62 : 140,039.91 = 65,211.83 : x
  2. Step 2: Convert to fraction form
    101,522.62/140,039.91 = 65,211.83/x
  3. Step 3: Cross multiply
    101,522.62x = 140,039.91 × 65,211.83
  4. Step 4: Simplify right side
    101,522.62x = 9,132,258,804.14
  5. Step 5: Solve for x
    x = 9,132,258,804.14/101,522.62
  6. Step 6: Final answer
    x = 89,952.95

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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.