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Finding the Fourth Proportional to 343,841.93, 515,738.54 and 91,116.82

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Solution

The fourth proportional to 343,841.93, 515,738.54 and 91,116.82 is: 136,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,841.93 : 515,738.54 = 91,116.82 : x
  2. Step 2: Convert to fraction form
    343,841.93/515,738.54 = 91,116.82/x
  3. Step 3: Cross multiply
    343,841.93x = 515,738.54 × 91,116.82
  4. Step 4: Simplify right side
    343,841.93x = 46,992,456,588.71
  5. Step 5: Solve for x
    x = 46,992,456,588.71/343,841.93
  6. Step 6: Final answer
    x = 136,668.78

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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.