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Finding the Fourth Proportional to 149,596.70, 224,283.45 and 90,419.90

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Solution

The fourth proportional to 149,596.70, 224,283.45 and 90,419.90 is: 135,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,596.70 : 224,283.45 = 90,419.90 : x
  2. Step 2: Convert to fraction form
    149,596.70/224,283.45 = 90,419.90/x
  3. Step 3: Cross multiply
    149,596.70x = 224,283.45 × 90,419.90
  4. Step 4: Simplify right side
    149,596.70x = 20,279,687,120.66
  5. Step 5: Solve for x
    x = 20,279,687,120.66/149,596.70
  6. Step 6: Final answer
    x = 135,562.40

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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.