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Finding the Fourth Proportional to 218,961.84, 302,167.89 and 123,470.13

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Solution

The fourth proportional to 218,961.84, 302,167.89 and 123,470.13 is: 170,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,961.84 : 302,167.89 = 123,470.13 : x
  2. Step 2: Convert to fraction form
    218,961.84/302,167.89 = 123,470.13/x
  3. Step 3: Cross multiply
    218,961.84x = 302,167.89 × 123,470.13
  4. Step 4: Simplify right side
    218,961.84x = 37,308,708,660.13
  5. Step 5: Solve for x
    x = 37,308,708,660.13/218,961.84
  6. Step 6: Final answer
    x = 170,389.09

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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.