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Finding the Fourth Proportional to 149,210, 205,909.80 and 82,142

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Solution

The fourth proportional to 149,210, 205,909.80 and 82,142 is: 113,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,210 : 205,909.80 = 82,142 : x
  2. Step 2: Convert to fraction form
    149,210/205,909.80 = 82,142/x
  3. Step 3: Cross multiply
    149,210x = 205,909.80 × 82,142
  4. Step 4: Simplify right side
    149,210x = 16,913,842,791.60
  5. Step 5: Solve for x
    x = 16,913,842,791.60/149,210
  6. Step 6: Final answer
    x = 113,355.96

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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.