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Finding the Fourth Proportional to 206,901, 285,523.65 and 117,477

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Solution

The fourth proportional to 206,901, 285,523.65 and 117,477 is: 162,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,901 : 285,523.65 = 117,477 : x
  2. Step 2: Convert to fraction form
    206,901/285,523.65 = 117,477/x
  3. Step 3: Cross multiply
    206,901x = 285,523.65 × 117,477
  4. Step 4: Simplify right side
    206,901x = 33,542,461,831.05
  5. Step 5: Solve for x
    x = 33,542,461,831.05/206,901
  6. Step 6: Final answer
    x = 162,118.41

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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.