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Finding the Fourth Proportional to 223,789.94, 308,830.12 and 123,187.94

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Solution

The fourth proportional to 223,789.94, 308,830.12 and 123,187.94 is: 169,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,789.94 : 308,830.12 = 123,187.94 : x
  2. Step 2: Convert to fraction form
    223,789.94/308,830.12 = 123,187.94/x
  3. Step 3: Cross multiply
    223,789.94x = 308,830.12 × 123,187.94
  4. Step 4: Simplify right side
    223,789.94x = 38,044,145,676.81
  5. Step 5: Solve for x
    x = 38,044,145,676.81/223,789.94
  6. Step 6: Final answer
    x = 169,999.36

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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.