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Finding the Fourth Proportional to 99,768.42, 137,702.97 and 67,950

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Solution

The fourth proportional to 99,768.42, 137,702.97 and 67,950 is: 93,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,768.42 : 137,702.97 = 67,950 : x
  2. Step 2: Convert to fraction form
    99,768.42/137,702.97 = 67,950/x
  3. Step 3: Cross multiply
    99,768.42x = 137,702.97 × 67,950
  4. Step 4: Simplify right side
    99,768.42x = 9,356,916,811.50
  5. Step 5: Solve for x
    x = 9,356,916,811.50/99,768.42
  6. Step 6: Final answer
    x = 93,786.36

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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.