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Finding the Fourth Proportional to 138,091.88, 206,692.32 and 71,440.22

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Solution

The fourth proportional to 138,091.88, 206,692.32 and 71,440.22 is: 106,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,091.88 : 206,692.32 = 71,440.22 : x
  2. Step 2: Convert to fraction form
    138,091.88/206,692.32 = 71,440.22/x
  3. Step 3: Cross multiply
    138,091.88x = 206,692.32 × 71,440.22
  4. Step 4: Simplify right side
    138,091.88x = 14,766,144,813.11
  5. Step 5: Solve for x
    x = 14,766,144,813.11/138,091.88
  6. Step 6: Final answer
    x = 106,929.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.