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Finding the Fourth Proportional to 99,940.78, 137,853.84 and 59,623.48

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Solution

The fourth proportional to 99,940.78, 137,853.84 and 59,623.48 is: 82,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,940.78 : 137,853.84 = 59,623.48 : x
  2. Step 2: Convert to fraction form
    99,940.78/137,853.84 = 59,623.48/x
  3. Step 3: Cross multiply
    99,940.78x = 137,853.84 × 59,623.48
  4. Step 4: Simplify right side
    99,940.78x = 8,219,325,672.16
  5. Step 5: Solve for x
    x = 8,219,325,672.16/99,940.78
  6. Step 6: Final answer
    x = 82,241.96

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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.