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Finding the Fourth Proportional to 254,171.68, 381,134 and 76,645.60

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Solution

The fourth proportional to 254,171.68, 381,134 and 76,645.60 is: 114,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,171.68 : 381,134 = 76,645.60 : x
  2. Step 2: Convert to fraction form
    254,171.68/381,134 = 76,645.60/x
  3. Step 3: Cross multiply
    254,171.68x = 381,134 × 76,645.60
  4. Step 4: Simplify right side
    254,171.68x = 29,212,244,110.40
  5. Step 5: Solve for x
    x = 29,212,244,110.40/254,171.68
  6. Step 6: Final answer
    x = 114,931.15

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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.