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Finding the Fourth Proportional to 218,881.10, 302,055.41 and 123,387.10

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Solution

The fourth proportional to 218,881.10, 302,055.41 and 123,387.10 is: 170,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,881.10 : 302,055.41 = 123,387.10 : x
  2. Step 2: Convert to fraction form
    218,881.10/302,055.41 = 123,387.10/x
  3. Step 3: Cross multiply
    218,881.10x = 302,055.41 × 123,387.10
  4. Step 4: Simplify right side
    218,881.10x = 37,269,740,632.54
  5. Step 5: Solve for x
    x = 37,269,740,632.54/218,881.10
  6. Step 6: Final answer
    x = 170,273.91

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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.