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Finding the Fourth Proportional to 218,845.25, 302,008.74 and 123,351.95

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Solution

The fourth proportional to 218,845.25, 302,008.74 and 123,351.95 is: 170,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,845.25 : 302,008.74 = 123,351.95 : x
  2. Step 2: Convert to fraction form
    218,845.25/302,008.74 = 123,351.95/x
  3. Step 3: Cross multiply
    218,845.25x = 302,008.74 × 123,351.95
  4. Step 4: Simplify right side
    218,845.25x = 37,253,365,486.00
  5. Step 5: Solve for x
    x = 37,253,365,486.00/218,845.25
  6. Step 6: Final answer
    x = 170,226.98

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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.