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Finding the Fourth Proportional to 137,673.54, 189,999.27 and 77,249.97

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Solution

The fourth proportional to 137,673.54, 189,999.27 and 77,249.97 is: 106,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,673.54 : 189,999.27 = 77,249.97 : x
  2. Step 2: Convert to fraction form
    137,673.54/189,999.27 = 77,249.97/x
  3. Step 3: Cross multiply
    137,673.54x = 189,999.27 × 77,249.97
  4. Step 4: Simplify right side
    137,673.54x = 14,677,437,907.52
  5. Step 5: Solve for x
    x = 14,677,437,907.52/137,673.54
  6. Step 6: Final answer
    x = 106,610.45

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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.