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Finding the Fourth Proportional to 257,901.89, 355,905.86 and 161,161.92

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Solution

The fourth proportional to 257,901.89, 355,905.86 and 161,161.92 is: 222,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,901.89 : 355,905.86 = 161,161.92 : x
  2. Step 2: Convert to fraction form
    257,901.89/355,905.86 = 161,161.92/x
  3. Step 3: Cross multiply
    257,901.89x = 355,905.86 × 161,161.92
  4. Step 4: Simplify right side
    257,901.89x = 57,358,472,139.76
  5. Step 5: Solve for x
    x = 57,358,472,139.76/257,901.89
  6. Step 6: Final answer
    x = 222,404.23

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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.