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Finding the Fourth Proportional to 236,147.91, 354,274.49 and 86,384.88

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Solution

The fourth proportional to 236,147.91, 354,274.49 and 86,384.88 is: 129,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,147.91 : 354,274.49 = 86,384.88 : x
  2. Step 2: Convert to fraction form
    236,147.91/354,274.49 = 86,384.88/x
  3. Step 3: Cross multiply
    236,147.91x = 354,274.49 × 86,384.88
  4. Step 4: Simplify right side
    236,147.91x = 30,603,958,873.79
  5. Step 5: Solve for x
    x = 30,603,958,873.79/236,147.91
  6. Step 6: Final answer
    x = 129,596.57

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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.