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Finding the Fourth Proportional to 149,210.98, 205,898.97 and 82,142.98

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Solution

The fourth proportional to 149,210.98, 205,898.97 and 82,142.98 is: 113,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,210.98 : 205,898.97 = 82,142.98 : x
  2. Step 2: Convert to fraction form
    149,210.98/205,898.97 = 82,142.98/x
  3. Step 3: Cross multiply
    149,210.98x = 205,898.97 × 82,142.98
  4. Step 4: Simplify right side
    149,210.98x = 16,913,154,974.73
  5. Step 5: Solve for x
    x = 16,913,154,974.73/149,210.98
  6. Step 6: Final answer
    x = 113,350.61

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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.