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Finding the Fourth Proportional to 257,951.11, 355,955.19 and 143,223.85

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Solution

The fourth proportional to 257,951.11, 355,955.19 and 143,223.85 is: 197,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,951.11 : 355,955.19 = 143,223.85 : x
  2. Step 2: Convert to fraction form
    257,951.11/355,955.19 = 143,223.85/x
  3. Step 3: Cross multiply
    257,951.11x = 355,955.19 × 143,223.85
  4. Step 4: Simplify right side
    257,951.11x = 50,981,272,739.28
  5. Step 5: Solve for x
    x = 50,981,272,739.28/257,951.11
  6. Step 6: Final answer
    x = 197,639.28

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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.