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Finding the Fourth Proportional to 359,187.75, 538,781.83 and 109,869.75

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Solution

The fourth proportional to 359,187.75, 538,781.83 and 109,869.75 is: 164,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,187.75 : 538,781.83 = 109,869.75 : x
  2. Step 2: Convert to fraction form
    359,187.75/538,781.83 = 109,869.75/x
  3. Step 3: Cross multiply
    359,187.75x = 538,781.83 × 109,869.75
  4. Step 4: Simplify right side
    359,187.75x = 59,195,824,691.97
  5. Step 5: Solve for x
    x = 59,195,824,691.97/359,187.75
  6. Step 6: Final answer
    x = 164,804.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.