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Finding the Fourth Proportional to 254,513.75, 381,602.13 and 121,414.55

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Solution

The fourth proportional to 254,513.75, 381,602.13 and 121,414.55 is: 182,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,513.75 : 381,602.13 = 121,414.55 : x
  2. Step 2: Convert to fraction form
    254,513.75/381,602.13 = 121,414.55/x
  3. Step 3: Cross multiply
    254,513.75x = 381,602.13 × 121,414.55
  4. Step 4: Simplify right side
    254,513.75x = 46,332,050,892.99
  5. Step 5: Solve for x
    x = 46,332,050,892.99/254,513.75
  6. Step 6: Final answer
    x = 182,041.45

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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.