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Finding the Fourth Proportional to 100,263.78, 150,396.51 and 80,223.60

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Solution

The fourth proportional to 100,263.78, 150,396.51 and 80,223.60 is: 120,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,263.78 : 150,396.51 = 80,223.60 : x
  2. Step 2: Convert to fraction form
    100,263.78/150,396.51 = 80,223.60/x
  3. Step 3: Cross multiply
    100,263.78x = 150,396.51 × 80,223.60
  4. Step 4: Simplify right side
    100,263.78x = 12,065,349,459.64
  5. Step 5: Solve for x
    x = 12,065,349,459.64/100,263.78
  6. Step 6: Final answer
    x = 120,336.08

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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.