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Finding the Fourth Proportional to 149,314.33, 223,837.03 and 54,478.32

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Solution

The fourth proportional to 149,314.33, 223,837.03 and 54,478.32 is: 81,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314.33 : 223,837.03 = 54,478.32 : x
  2. Step 2: Convert to fraction form
    149,314.33/223,837.03 = 54,478.32/x
  3. Step 3: Cross multiply
    149,314.33x = 223,837.03 × 54,478.32
  4. Step 4: Simplify right side
    149,314.33x = 12,194,265,348.19
  5. Step 5: Solve for x
    x = 12,194,265,348.19/149,314.33
  6. Step 6: Final answer
    x = 81,668.42

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Why These Related Problems?

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