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Finding the Fourth Proportional to 77,065, 115,597.52 and 21,661

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Solution

The fourth proportional to 77,065, 115,597.52 and 21,661 is: 32,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,065 : 115,597.52 = 21,661 : x
  2. Step 2: Convert to fraction form
    77,065/115,597.52 = 21,661/x
  3. Step 3: Cross multiply
    77,065x = 115,597.52 × 21,661
  4. Step 4: Simplify right side
    77,065x = 2,503,957,880.72
  5. Step 5: Solve for x
    x = 2,503,957,880.72/77,065
  6. Step 6: Final answer
    x = 32,491.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.