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Finding the Fourth Proportional to 149,409.22, 224,179.84 and 78,314.84

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Solution

The fourth proportional to 149,409.22, 224,179.84 and 78,314.84 is: 117,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,409.22 : 224,179.84 = 78,314.84 : x
  2. Step 2: Convert to fraction form
    149,409.22/224,179.84 = 78,314.84/x
  3. Step 3: Cross multiply
    149,409.22x = 224,179.84 × 78,314.84
  4. Step 4: Simplify right side
    149,409.22x = 17,556,608,300.83
  5. Step 5: Solve for x
    x = 17,556,608,300.83/149,409.22
  6. Step 6: Final answer
    x = 117,506.86

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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.