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Finding the Fourth Proportional to 216,138.78, 324,207.66 and 120,137.01

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Solution

The fourth proportional to 216,138.78, 324,207.66 and 120,137.01 is: 180,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,138.78 : 324,207.66 = 120,137.01 : x
  2. Step 2: Convert to fraction form
    216,138.78/324,207.66 = 120,137.01/x
  3. Step 3: Cross multiply
    216,138.78x = 324,207.66 × 120,137.01
  4. Step 4: Simplify right side
    216,138.78x = 38,949,338,126.23
  5. Step 5: Solve for x
    x = 38,949,338,126.23/216,138.78
  6. Step 6: Final answer
    x = 180,205.23

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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.