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Finding the Fourth Proportional to 218,923.94, 302,109 and 123,429.80

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Solution

The fourth proportional to 218,923.94, 302,109 and 123,429.80 is: 170,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,923.94 : 302,109 = 123,429.80 : x
  2. Step 2: Convert to fraction form
    218,923.94/302,109 = 123,429.80/x
  3. Step 3: Cross multiply
    218,923.94x = 302,109 × 123,429.80
  4. Step 4: Simplify right side
    218,923.94x = 37,289,253,448.20
  5. Step 5: Solve for x
    x = 37,289,253,448.20/218,923.94
  6. Step 6: Final answer
    x = 170,329.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.