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Finding the Fourth Proportional to 149,903.20, 224,919.60 and 76,031.20

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Solution

The fourth proportional to 149,903.20, 224,919.60 and 76,031.20 is: 114,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,903.20 : 224,919.60 = 76,031.20 : x
  2. Step 2: Convert to fraction form
    149,903.20/224,919.60 = 76,031.20/x
  3. Step 3: Cross multiply
    149,903.20x = 224,919.60 × 76,031.20
  4. Step 4: Simplify right side
    149,903.20x = 17,100,907,091.52
  5. Step 5: Solve for x
    x = 17,100,907,091.52/149,903.20
  6. Step 6: Final answer
    x = 114,079.67

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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.