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Finding the Fourth Proportional to 137,632.98, 189,972.82 and 81,076.98

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Solution

The fourth proportional to 137,632.98, 189,972.82 and 81,076.98 is: 111,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,632.98 : 189,972.82 = 81,076.98 : x
  2. Step 2: Convert to fraction form
    137,632.98/189,972.82 = 81,076.98/x
  3. Step 3: Cross multiply
    137,632.98x = 189,972.82 × 81,076.98
  4. Step 4: Simplify right side
    137,632.98x = 15,402,422,527.68
  5. Step 5: Solve for x
    x = 15,402,422,527.68/137,632.98
  6. Step 6: Final answer
    x = 111,909.39

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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.