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Finding the Fourth Proportional to 257,347.75, 355,154.05 and 142,624

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Solution

The fourth proportional to 257,347.75, 355,154.05 and 142,624 is: 196,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,347.75 : 355,154.05 = 142,624 : x
  2. Step 2: Convert to fraction form
    257,347.75/355,154.05 = 142,624/x
  3. Step 3: Cross multiply
    257,347.75x = 355,154.05 × 142,624
  4. Step 4: Simplify right side
    257,347.75x = 50,653,491,227.20
  5. Step 5: Solve for x
    x = 50,653,491,227.20/257,347.75
  6. Step 6: Final answer
    x = 196,828.97

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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.