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Finding the Fourth Proportional to 99,871.33, 137,821.73 and 54,549.32

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Solution

The fourth proportional to 99,871.33, 137,821.73 and 54,549.32 is: 75,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.33 : 137,821.73 = 54,549.32 : x
  2. Step 2: Convert to fraction form
    99,871.33/137,821.73 = 54,549.32/x
  3. Step 3: Cross multiply
    99,871.33x = 137,821.73 × 54,549.32
  4. Step 4: Simplify right side
    99,871.33x = 7,518,081,619.54
  5. Step 5: Solve for x
    x = 7,518,081,619.54/99,871.33
  6. Step 6: Final answer
    x = 75,277.68

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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.