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Finding the Fourth Proportional to 218,963.86, 302,118.42 and 123,452.10

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Solution

The fourth proportional to 218,963.86, 302,118.42 and 123,452.10 is: 170,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,963.86 : 302,118.42 = 123,452.10 : x
  2. Step 2: Convert to fraction form
    218,963.86/302,118.42 = 123,452.10/x
  3. Step 3: Cross multiply
    218,963.86x = 302,118.42 × 123,452.10
  4. Step 4: Simplify right side
    218,963.86x = 37,297,153,860.63
  5. Step 5: Solve for x
    x = 37,297,153,860.63/218,963.86
  6. Step 6: Final answer
    x = 170,334.75

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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.