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Finding the Fourth Proportional to 149,065.38, 205,778.34 and 100,089

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Solution

The fourth proportional to 149,065.38, 205,778.34 and 100,089 is: 138,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,065.38 : 205,778.34 = 100,089 : x
  2. Step 2: Convert to fraction form
    149,065.38/205,778.34 = 100,089/x
  3. Step 3: Cross multiply
    149,065.38x = 205,778.34 × 100,089
  4. Step 4: Simplify right side
    149,065.38x = 20,596,148,272.26
  5. Step 5: Solve for x
    x = 20,596,148,272.26/149,065.38
  6. Step 6: Final answer
    x = 138,168.56

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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.