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Finding the Fourth Proportional to 288,107.89, 432,161.83 and 77,745.49

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Solution

The fourth proportional to 288,107.89, 432,161.83 and 77,745.49 is: 116,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,107.89 : 432,161.83 = 77,745.49 : x
  2. Step 2: Convert to fraction form
    288,107.89/432,161.83 = 77,745.49/x
  3. Step 3: Cross multiply
    288,107.89x = 432,161.83 × 77,745.49
  4. Step 4: Simplify right side
    288,107.89x = 33,598,632,249.42
  5. Step 5: Solve for x
    x = 33,598,632,249.42/288,107.89
  6. Step 6: Final answer
    x = 116,618.23

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1.5x scale

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.