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Finding the Fourth Proportional to 228,934.62, 343,451.06 and 77,146.68

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Solution

The fourth proportional to 228,934.62, 343,451.06 and 77,146.68 is: 115,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,934.62 : 343,451.06 = 77,146.68 : x
  2. Step 2: Convert to fraction form
    228,934.62/343,451.06 = 77,146.68/x
  3. Step 3: Cross multiply
    228,934.62x = 343,451.06 × 77,146.68
  4. Step 4: Simplify right side
    228,934.62x = 26,496,109,021.48
  5. Step 5: Solve for x
    x = 26,496,109,021.48/228,934.62
  6. Step 6: Final answer
    x = 115,736.58

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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.