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Finding the Fourth Proportional to 257,727.62, 355,676.32 and 160,988.78

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Solution

The fourth proportional to 257,727.62, 355,676.32 and 160,988.78 is: 222,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,727.62 : 355,676.32 = 160,988.78 : x
  2. Step 2: Convert to fraction form
    257,727.62/355,676.32 = 160,988.78/x
  3. Step 3: Cross multiply
    257,727.62x = 355,676.32 × 160,988.78
  4. Step 4: Simplify right side
    257,727.62x = 57,259,896,831.69
  5. Step 5: Solve for x
    x = 57,259,896,831.69/257,727.62
  6. Step 6: Final answer
    x = 222,172.14

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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.