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Finding the Fourth Proportional to 100,029.36, 149,830.18 and 80,971.69

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Solution

The fourth proportional to 100,029.36, 149,830.18 and 80,971.69 is: 121,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.36 : 149,830.18 = 80,971.69 : x
  2. Step 2: Convert to fraction form
    100,029.36/149,830.18 = 80,971.69/x
  3. Step 3: Cross multiply
    100,029.36x = 149,830.18 × 80,971.69
  4. Step 4: Simplify right side
    100,029.36x = 12,132,002,887.60
  5. Step 5: Solve for x
    x = 12,132,002,887.60/100,029.36
  6. Step 6: Final answer
    x = 121,284.42

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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.