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Finding the Fourth Proportional to 254,462.10, 381,693.15 and 121,406.10

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Solution

The fourth proportional to 254,462.10, 381,693.15 and 121,406.10 is: 182,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,462.10 : 381,693.15 = 121,406.10 : x
  2. Step 2: Convert to fraction form
    254,462.10/381,693.15 = 121,406.10/x
  3. Step 3: Cross multiply
    254,462.10x = 381,693.15 × 121,406.10
  4. Step 4: Simplify right side
    254,462.10x = 46,339,876,738.22
  5. Step 5: Solve for x
    x = 46,339,876,738.22/254,462.10
  6. Step 6: Final answer
    x = 182,109.15

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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.