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Finding the Fourth Proportional to 206,400, 284,892.80 and 134,791.04

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Solution

The fourth proportional to 206,400, 284,892.80 and 134,791.04 is: 186,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400 : 284,892.80 = 134,791.04 : x
  2. Step 2: Convert to fraction form
    206,400/284,892.80 = 134,791.04/x
  3. Step 3: Cross multiply
    206,400x = 284,892.80 × 134,791.04
  4. Step 4: Simplify right side
    206,400x = 38,400,996,800.51
  5. Step 5: Solve for x
    x = 38,400,996,800.51/206,400
  6. Step 6: Final answer
    x = 186,051.34

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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.