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Finding the Fourth Proportional to 235,490.99, 353,187 and 77,682.47

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Solution

The fourth proportional to 235,490.99, 353,187 and 77,682.47 is: 116,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,490.99 : 353,187 = 77,682.47 : x
  2. Step 2: Convert to fraction form
    235,490.99/353,187 = 77,682.47/x
  3. Step 3: Cross multiply
    235,490.99x = 353,187 × 77,682.47
  4. Step 4: Simplify right side
    235,490.99x = 27,436,436,765.96
  5. Step 5: Solve for x
    x = 27,436,436,765.96/235,490.99
  6. Step 6: Final answer
    x = 116,507.38

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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.