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Finding the Fourth Proportional to 257,760, 355,770.24 and 157,242.24

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Solution

The fourth proportional to 257,760, 355,770.24 and 157,242.24 is: 217,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,760 : 355,770.24 = 157,242.24 : x
  2. Step 2: Convert to fraction form
    257,760/355,770.24 = 157,242.24/x
  3. Step 3: Cross multiply
    257,760x = 355,770.24 × 157,242.24
  4. Step 4: Simplify right side
    257,760x = 55,942,109,462.94
  5. Step 5: Solve for x
    x = 55,942,109,462.94/257,760
  6. Step 6: Final answer
    x = 217,031.77

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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.