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Finding the Fourth Proportional to 99,986.13, 137,980.94 and 54,663.39

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Solution

The fourth proportional to 99,986.13, 137,980.94 and 54,663.39 is: 75,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,986.13 : 137,980.94 = 54,663.39 : x
  2. Step 2: Convert to fraction form
    99,986.13/137,980.94 = 54,663.39/x
  3. Step 3: Cross multiply
    99,986.13x = 137,980.94 × 54,663.39
  4. Step 4: Simplify right side
    99,986.13x = 7,542,505,662.47
  5. Step 5: Solve for x
    x = 7,542,505,662.47/99,986.13
  6. Step 6: Final answer
    x = 75,435.52

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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.