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Finding the Fourth Proportional to 206,288.78, 284,739.01 and 134,679.51

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Solution

The fourth proportional to 206,288.78, 284,739.01 and 134,679.51 is: 185,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,288.78 : 284,739.01 = 134,679.51 : x
  2. Step 2: Convert to fraction form
    206,288.78/284,739.01 = 134,679.51/x
  3. Step 3: Cross multiply
    206,288.78x = 284,739.01 × 134,679.51
  4. Step 4: Simplify right side
    206,288.78x = 38,348,510,007.99
  5. Step 5: Solve for x
    x = 38,348,510,007.99/206,288.78
  6. Step 6: Final answer
    x = 185,897.22

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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.