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Finding the Fourth Proportional to 254,708.96, 381,797.76 and 142,224.32

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Solution

The fourth proportional to 254,708.96, 381,797.76 and 142,224.32 is: 213,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,708.96 : 381,797.76 = 142,224.32 : x
  2. Step 2: Convert to fraction form
    254,708.96/381,797.76 = 142,224.32/x
  3. Step 3: Cross multiply
    254,708.96x = 381,797.76 × 142,224.32
  4. Step 4: Simplify right side
    254,708.96x = 54,300,926,793.52
  5. Step 5: Solve for x
    x = 54,300,926,793.52/254,708.96
  6. Step 6: Final answer
    x = 213,188.13

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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.