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Finding the Fourth Proportional to 206,904, 285,527.79 and 117,480

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Solution

The fourth proportional to 206,904, 285,527.79 and 117,480 is: 162,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,904 : 285,527.79 = 117,480 : x
  2. Step 2: Convert to fraction form
    206,904/285,527.79 = 117,480/x
  3. Step 3: Cross multiply
    206,904x = 285,527.79 × 117,480
  4. Step 4: Simplify right side
    206,904x = 33,543,804,769.20
  5. Step 5: Solve for x
    x = 33,543,804,769.20/206,904
  6. Step 6: Final answer
    x = 162,122.55

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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.