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Finding the Fourth Proportional to 257,252.03, 354,978.97 and 142,501.96

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Solution

The fourth proportional to 257,252.03, 354,978.97 and 142,501.96 is: 196,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,252.03 : 354,978.97 = 142,501.96 : x
  2. Step 2: Convert to fraction form
    257,252.03/354,978.97 = 142,501.96/x
  3. Step 3: Cross multiply
    257,252.03x = 354,978.97 × 142,501.96
  4. Step 4: Simplify right side
    257,252.03x = 50,585,196,496.38
  5. Step 5: Solve for x
    x = 50,585,196,496.38/257,252.03
  6. Step 6: Final answer
    x = 196,636.73

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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.