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Finding the Fourth Proportional to 149,277.98, 206,002.71 and 82,209.50

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Solution

The fourth proportional to 149,277.98, 206,002.71 and 82,209.50 is: 113,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,277.98 : 206,002.71 = 82,209.50 : x
  2. Step 2: Convert to fraction form
    149,277.98/206,002.71 = 82,209.50/x
  3. Step 3: Cross multiply
    149,277.98x = 206,002.71 × 82,209.50
  4. Step 4: Simplify right side
    149,277.98x = 16,935,379,787.75
  5. Step 5: Solve for x
    x = 16,935,379,787.75/149,277.98
  6. Step 6: Final answer
    x = 113,448.61

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1.5x scale

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.