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Finding the Fourth Proportional to 257,053.91, 354,745.98 and 143,876.66

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Solution

The fourth proportional to 257,053.91, 354,745.98 and 143,876.66 is: 198,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,053.91 : 354,745.98 = 143,876.66 : x
  2. Step 2: Convert to fraction form
    257,053.91/354,745.98 = 143,876.66/x
  3. Step 3: Cross multiply
    257,053.91x = 354,745.98 × 143,876.66
  4. Step 4: Simplify right side
    257,053.91x = 51,039,664,977.10
  5. Step 5: Solve for x
    x = 51,039,664,977.10/257,053.91
  6. Step 6: Final answer
    x = 198,556.27

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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.