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Finding the Fourth Proportional to 149,277.81, 205,994.03 and 82,209.81

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Solution

The fourth proportional to 149,277.81, 205,994.03 and 82,209.81 is: 113,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,277.81 : 205,994.03 = 82,209.81 : x
  2. Step 2: Convert to fraction form
    149,277.81/205,994.03 = 82,209.81/x
  3. Step 3: Cross multiply
    149,277.81x = 205,994.03 × 82,209.81
  4. Step 4: Simplify right side
    149,277.81x = 16,934,729,037.46
  5. Step 5: Solve for x
    x = 16,934,729,037.46/149,277.81
  6. Step 6: Final answer
    x = 113,444.39

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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.