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Finding the Fourth Proportional to 206,242.91, 309,838.01 and 145,592.64

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Solution

The fourth proportional to 206,242.91, 309,838.01 and 145,592.64 is: 218,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,242.91 : 309,838.01 = 145,592.64 : x
  2. Step 2: Convert to fraction form
    206,242.91/309,838.01 = 145,592.64/x
  3. Step 3: Cross multiply
    206,242.91x = 309,838.01 × 145,592.64
  4. Step 4: Simplify right side
    206,242.91x = 45,110,133,939.24
  5. Step 5: Solve for x
    x = 45,110,133,939.24/206,242.91
  6. Step 6: Final answer
    x = 218,723.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.