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Finding the Fourth Proportional to 102,986.70, 154,480.05 and 71,493.90

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Solution

The fourth proportional to 102,986.70, 154,480.05 and 71,493.90 is: 107,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,986.70 : 154,480.05 = 71,493.90 : x
  2. Step 2: Convert to fraction form
    102,986.70/154,480.05 = 71,493.90/x
  3. Step 3: Cross multiply
    102,986.70x = 154,480.05 × 71,493.90
  4. Step 4: Simplify right side
    102,986.70x = 11,044,381,246.70
  5. Step 5: Solve for x
    x = 11,044,381,246.70/102,986.70
  6. Step 6: Final answer
    x = 107,240.85

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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.