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Finding the Fourth Proportional to 206,887.53, 310,330.71 and 55,084.59

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Solution

The fourth proportional to 206,887.53, 310,330.71 and 55,084.59 is: 82,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,887.53 : 310,330.71 = 55,084.59 : x
  2. Step 2: Convert to fraction form
    206,887.53/310,330.71 = 55,084.59/x
  3. Step 3: Cross multiply
    206,887.53x = 310,330.71 × 55,084.59
  4. Step 4: Simplify right side
    206,887.53x = 17,094,441,001.58
  5. Step 5: Solve for x
    x = 17,094,441,001.58/206,887.53
  6. Step 6: Final answer
    x = 82,626.73

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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.