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Finding the Fourth Proportional to 205,159.68, 307,736.33 and 105,262.22

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Solution

The fourth proportional to 205,159.68, 307,736.33 and 105,262.22 is: 157,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,159.68 : 307,736.33 = 105,262.22 : x
  2. Step 2: Convert to fraction form
    205,159.68/307,736.33 = 105,262.22/x
  3. Step 3: Cross multiply
    205,159.68x = 307,736.33 × 105,262.22
  4. Step 4: Simplify right side
    205,159.68x = 32,393,009,513.48
  5. Step 5: Solve for x
    x = 32,393,009,513.48/205,159.68
  6. Step 6: Final answer
    x = 157,891.69

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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.