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Finding the Fourth Proportional to 206,649.18, 309,677.76 and 117,719.07

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Solution

The fourth proportional to 206,649.18, 309,677.76 and 117,719.07 is: 176,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,649.18 : 309,677.76 = 117,719.07 : x
  2. Step 2: Convert to fraction form
    206,649.18/309,677.76 = 117,719.07/x
  3. Step 3: Cross multiply
    206,649.18x = 309,677.76 × 117,719.07
  4. Step 4: Simplify right side
    206,649.18x = 36,454,977,906.88
  5. Step 5: Solve for x
    x = 36,454,977,906.88/206,649.18
  6. Step 6: Final answer
    x = 176,409.98

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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.