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Finding the Fourth Proportional to 202,078.50, 303,161.52 and 77,419.50

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Solution

The fourth proportional to 202,078.50, 303,161.52 and 77,419.50 is: 116,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.50 : 303,161.52 = 77,419.50 : x
  2. Step 2: Convert to fraction form
    202,078.50/303,161.52 = 77,419.50/x
  3. Step 3: Cross multiply
    202,078.50x = 303,161.52 × 77,419.50
  4. Step 4: Simplify right side
    202,078.50x = 23,470,613,297.64
  5. Step 5: Solve for x
    x = 23,470,613,297.64/202,078.50
  6. Step 6: Final answer
    x = 116,146.02

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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.