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Finding the Fourth Proportional to 131,698.49, 181,743.92 and 71,269.14

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Solution

The fourth proportional to 131,698.49, 181,743.92 and 71,269.14 is: 98,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,698.49 : 181,743.92 = 71,269.14 : x
  2. Step 2: Convert to fraction form
    131,698.49/181,743.92 = 71,269.14/x
  3. Step 3: Cross multiply
    131,698.49x = 181,743.92 × 71,269.14
  4. Step 4: Simplify right side
    131,698.49x = 12,952,732,878.63
  5. Step 5: Solve for x
    x = 12,952,732,878.63/131,698.49
  6. Step 6: Final answer
    x = 98,351.42

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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.