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Finding the Fourth Proportional to 206,643.18, 309,668.76 and 117,713.07

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Solution

The fourth proportional to 206,643.18, 309,668.76 and 117,713.07 is: 176,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,643.18 : 309,668.76 = 117,713.07 : x
  2. Step 2: Convert to fraction form
    206,643.18/309,668.76 = 117,713.07/x
  3. Step 3: Cross multiply
    206,643.18x = 309,668.76 × 117,713.07
  4. Step 4: Simplify right side
    206,643.18x = 36,452,060,422.69
  5. Step 5: Solve for x
    x = 36,452,060,422.69/206,643.18
  6. Step 6: Final answer
    x = 176,400.98

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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.