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Finding the Fourth Proportional to 149,699.40, 224,221.05 and 133,078.20

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Solution

The fourth proportional to 149,699.40, 224,221.05 and 133,078.20 is: 199,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,699.40 : 224,221.05 = 133,078.20 : x
  2. Step 2: Convert to fraction form
    149,699.40/224,221.05 = 133,078.20/x
  3. Step 3: Cross multiply
    149,699.40x = 224,221.05 × 133,078.20
  4. Step 4: Simplify right side
    149,699.40x = 29,838,933,736.11
  5. Step 5: Solve for x
    x = 29,838,933,736.11/149,699.40
  6. Step 6: Final answer
    x = 199,325.67

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1.5x scale

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.