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Finding the Fourth Proportional to 223,842.82, 308,897.20 and 121,866.04

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Solution

The fourth proportional to 223,842.82, 308,897.20 and 121,866.04 is: 168,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842.82 : 308,897.20 = 121,866.04 : x
  2. Step 2: Convert to fraction form
    223,842.82/308,897.20 = 121,866.04/x
  3. Step 3: Cross multiply
    223,842.82x = 308,897.20 × 121,866.04
  4. Step 4: Simplify right side
    223,842.82x = 37,644,078,531.09
  5. Step 5: Solve for x
    x = 37,644,078,531.09/223,842.82
  6. Step 6: Final answer
    x = 168,171.93

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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.