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Finding the Fourth Proportional to 205,649.46, 308,470.95 and 65,406.06

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Solution

The fourth proportional to 205,649.46, 308,470.95 and 65,406.06 is: 98,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,649.46 : 308,470.95 = 65,406.06 : x
  2. Step 2: Convert to fraction form
    205,649.46/308,470.95 = 65,406.06/x
  3. Step 3: Cross multiply
    205,649.46x = 308,470.95 × 65,406.06
  4. Step 4: Simplify right side
    205,649.46x = 20,175,869,463.96
  5. Step 5: Solve for x
    x = 20,175,869,463.96/205,649.46
  6. Step 6: Final answer
    x = 98,108.06

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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.