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Finding the Fourth Proportional to 257,825.96, 355,794.46 and 143,097.87

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Solution

The fourth proportional to 257,825.96, 355,794.46 and 143,097.87 is: 197,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,825.96 : 355,794.46 = 143,097.87 : x
  2. Step 2: Convert to fraction form
    257,825.96/355,794.46 = 143,097.87/x
  3. Step 3: Cross multiply
    257,825.96x = 355,794.46 × 143,097.87
  4. Step 4: Simplify right side
    257,825.96x = 50,913,430,631.03
  5. Step 5: Solve for x
    x = 50,913,430,631.03/257,825.96
  6. Step 6: Final answer
    x = 197,472.09

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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.