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Finding the Fourth Proportional to 99,415.78, 137,198.59 and 56,974.41

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Solution

The fourth proportional to 99,415.78, 137,198.59 and 56,974.41 is: 78,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,415.78 : 137,198.59 = 56,974.41 : x
  2. Step 2: Convert to fraction form
    99,415.78/137,198.59 = 56,974.41/x
  3. Step 3: Cross multiply
    99,415.78x = 137,198.59 × 56,974.41
  4. Step 4: Simplify right side
    99,415.78x = 7,816,808,575.65
  5. Step 5: Solve for x
    x = 7,816,808,575.65/99,415.78
  6. Step 6: Final answer
    x = 78,627.44

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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.