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Finding the Fourth Proportional to 223,302.21, 308,162.93 and 127,839.66

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Solution

The fourth proportional to 223,302.21, 308,162.93 and 127,839.66 is: 176,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,302.21 : 308,162.93 = 127,839.66 : x
  2. Step 2: Convert to fraction form
    223,302.21/308,162.93 = 127,839.66/x
  3. Step 3: Cross multiply
    223,302.21x = 308,162.93 × 127,839.66
  4. Step 4: Simplify right side
    223,302.21x = 39,395,443,556.61
  5. Step 5: Solve for x
    x = 39,395,443,556.61/223,302.21
  6. Step 6: Final answer
    x = 176,422.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.