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Finding the Fourth Proportional to 206,355.88, 309,541.02 and 66,096.28

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Solution

The fourth proportional to 206,355.88, 309,541.02 and 66,096.28 is: 99,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,355.88 : 309,541.02 = 66,096.28 : x
  2. Step 2: Convert to fraction form
    206,355.88/309,541.02 = 66,096.28/x
  3. Step 3: Cross multiply
    206,355.88x = 309,541.02 × 66,096.28
  4. Step 4: Simplify right side
    206,355.88x = 20,459,509,929.41
  5. Step 5: Solve for x
    x = 20,459,509,929.41/206,355.88
  6. Step 6: Final answer
    x = 99,146.73

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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.