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Finding the Fourth Proportional to 206,362.40, 309,543.62 and 136,225.31

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Solution

The fourth proportional to 206,362.40, 309,543.62 and 136,225.31 is: 204,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,362.40 : 309,543.62 = 136,225.31 : x
  2. Step 2: Convert to fraction form
    206,362.40/309,543.62 = 136,225.31/x
  3. Step 3: Cross multiply
    206,362.40x = 309,543.62 × 136,225.31
  4. Step 4: Simplify right side
    206,362.40x = 42,167,673,364.18
  5. Step 5: Solve for x
    x = 42,167,673,364.18/206,362.40
  6. Step 6: Final answer
    x = 204,337.97

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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.