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Finding the Fourth Proportional to 254,613.66, 381,914.01 and 121,587.90

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Solution

The fourth proportional to 254,613.66, 381,914.01 and 121,587.90 is: 182,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,613.66 : 381,914.01 = 121,587.90 : x
  2. Step 2: Convert to fraction form
    254,613.66/381,914.01 = 121,587.90/x
  3. Step 3: Cross multiply
    254,613.66x = 381,914.01 × 121,587.90
  4. Step 4: Simplify right side
    254,613.66x = 46,436,122,456.48
  5. Step 5: Solve for x
    x = 46,436,122,456.48/254,613.66
  6. Step 6: Final answer
    x = 182,378.76

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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.