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Finding the Fourth Proportional to 206,476.48, 309,904.80 and 127,744.48

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Solution

The fourth proportional to 206,476.48, 309,904.80 and 127,744.48 is: 191,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,476.48 : 309,904.80 = 127,744.48 : x
  2. Step 2: Convert to fraction form
    206,476.48/309,904.80 = 127,744.48/x
  3. Step 3: Cross multiply
    206,476.48x = 309,904.80 × 127,744.48
  4. Step 4: Simplify right side
    206,476.48x = 39,588,627,525.50
  5. Step 5: Solve for x
    x = 39,588,627,525.50/206,476.48
  6. Step 6: Final answer
    x = 191,734.32

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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.