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Finding the Fourth Proportional to 136,780, 205,181.52 and 38,284

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Solution

The fourth proportional to 136,780, 205,181.52 and 38,284 is: 57,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,780 : 205,181.52 = 38,284 : x
  2. Step 2: Convert to fraction form
    136,780/205,181.52 = 38,284/x
  3. Step 3: Cross multiply
    136,780x = 205,181.52 × 38,284
  4. Step 4: Simplify right side
    136,780x = 7,855,169,311.68
  5. Step 5: Solve for x
    x = 7,855,169,311.68/136,780
  6. Step 6: Final answer
    x = 57,429.22

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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.