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Finding the Fourth Proportional to 235,485.78, 353,249.46 and 75,578.01

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Solution

The fourth proportional to 235,485.78, 353,249.46 and 75,578.01 is: 113,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,485.78 : 353,249.46 = 75,578.01 : x
  2. Step 2: Convert to fraction form
    235,485.78/353,249.46 = 75,578.01/x
  3. Step 3: Cross multiply
    235,485.78x = 353,249.46 × 75,578.01
  4. Step 4: Simplify right side
    235,485.78x = 26,697,891,220.37
  5. Step 5: Solve for x
    x = 26,697,891,220.37/235,485.78
  6. Step 6: Final answer
    x = 113,373.69

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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.