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Finding the Fourth Proportional to 136,734, 205,102.44 and 38,238

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Solution

The fourth proportional to 136,734, 205,102.44 and 38,238 is: 57,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,734 : 205,102.44 = 38,238 : x
  2. Step 2: Convert to fraction form
    136,734/205,102.44 = 38,238/x
  3. Step 3: Cross multiply
    136,734x = 205,102.44 × 38,238
  4. Step 4: Simplify right side
    136,734x = 7,842,707,100.72
  5. Step 5: Solve for x
    x = 7,842,707,100.72/136,734
  6. Step 6: Final answer
    x = 57,357.40

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