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Finding the Fourth Proportional to 149,322, 223,987.32 and 38,514

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Solution

The fourth proportional to 149,322, 223,987.32 and 38,514 is: 57,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322 : 223,987.32 = 38,514 : x
  2. Step 2: Convert to fraction form
    149,322/223,987.32 = 38,514/x
  3. Step 3: Cross multiply
    149,322x = 223,987.32 × 38,514
  4. Step 4: Simplify right side
    149,322x = 8,626,647,642.48
  5. Step 5: Solve for x
    x = 8,626,647,642.48/149,322
  6. Step 6: Final answer
    x = 57,772.11

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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.