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Finding the Fourth Proportional to 206,908, 285,533.08 and 117,484

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Solution

The fourth proportional to 206,908, 285,533.08 and 117,484 is: 162,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,908 : 285,533.08 = 117,484 : x
  2. Step 2: Convert to fraction form
    206,908/285,533.08 = 117,484/x
  3. Step 3: Cross multiply
    206,908x = 285,533.08 × 117,484
  4. Step 4: Simplify right side
    206,908x = 33,545,568,370.72
  5. Step 5: Solve for x
    x = 33,545,568,370.72/206,908
  6. Step 6: Final answer
    x = 162,127.94

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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.