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Finding the Fourth Proportional to 235,617.21, 353,458.67 and 75,698

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Solution

The fourth proportional to 235,617.21, 353,458.67 and 75,698 is: 113,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,617.21 : 353,458.67 = 75,698 : x
  2. Step 2: Convert to fraction form
    235,617.21/353,458.67 = 75,698/x
  3. Step 3: Cross multiply
    235,617.21x = 353,458.67 × 75,698
  4. Step 4: Simplify right side
    235,617.21x = 26,756,114,401.66
  5. Step 5: Solve for x
    x = 26,756,114,401.66/235,617.21
  6. Step 6: Final answer
    x = 113,557.56

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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.