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Finding the Fourth Proportional to 99,902.48, 137,896.44 and 61,674.08

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Solution

The fourth proportional to 99,902.48, 137,896.44 and 61,674.08 is: 85,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,902.48 : 137,896.44 = 61,674.08 : x
  2. Step 2: Convert to fraction form
    99,902.48/137,896.44 = 61,674.08/x
  3. Step 3: Cross multiply
    99,902.48x = 137,896.44 × 61,674.08
  4. Step 4: Simplify right side
    99,902.48x = 8,504,636,072.28
  5. Step 5: Solve for x
    x = 8,504,636,072.28/99,902.48
  6. Step 6: Final answer
    x = 85,129.38

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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.