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Finding the Fourth Proportional to 257,057.76, 354,739.42 and 143,880.52

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Solution

The fourth proportional to 257,057.76, 354,739.42 and 143,880.52 is: 198,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,057.76 : 354,739.42 = 143,880.52 : x
  2. Step 2: Convert to fraction form
    257,057.76/354,739.42 = 143,880.52/x
  3. Step 3: Cross multiply
    257,057.76x = 354,739.42 × 143,880.52
  4. Step 4: Simplify right side
    257,057.76x = 51,040,092,214.10
  5. Step 5: Solve for x
    x = 51,040,092,214.10/257,057.76
  6. Step 6: Final answer
    x = 198,554.96

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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.