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Finding the Fourth Proportional to 257,224.82, 354,972.75 and 142,505.91

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Solution

The fourth proportional to 257,224.82, 354,972.75 and 142,505.91 is: 196,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,224.82 : 354,972.75 = 142,505.91 : x
  2. Step 2: Convert to fraction form
    257,224.82/354,972.75 = 142,505.91/x
  3. Step 3: Cross multiply
    257,224.82x = 354,972.75 × 142,505.91
  4. Step 4: Simplify right side
    257,224.82x = 50,585,712,898.41
  5. Step 5: Solve for x
    x = 50,585,712,898.41/257,224.82
  6. Step 6: Final answer
    x = 196,659.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.