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Finding the Fourth Proportional to 189,193.96, 261,076.26 and 108,603.88

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Solution

The fourth proportional to 189,193.96, 261,076.26 and 108,603.88 is: 149,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,193.96 : 261,076.26 = 108,603.88 : x
  2. Step 2: Convert to fraction form
    189,193.96/261,076.26 = 108,603.88/x
  3. Step 3: Cross multiply
    189,193.96x = 261,076.26 × 108,603.88
  4. Step 4: Simplify right side
    189,193.96x = 28,353,894,811.89
  5. Step 5: Solve for x
    x = 28,353,894,811.89/189,193.96
  6. Step 6: Final answer
    x = 149,866.81

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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.