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Finding the Fourth Proportional to 206,551.70, 309,827.54 and 66,408.74

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Solution

The fourth proportional to 206,551.70, 309,827.54 and 66,408.74 is: 99,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,551.70 : 309,827.54 = 66,408.74 : x
  2. Step 2: Convert to fraction form
    206,551.70/309,827.54 = 66,408.74/x
  3. Step 3: Cross multiply
    206,551.70x = 309,827.54 × 66,408.74
  4. Step 4: Simplify right side
    206,551.70x = 20,575,255,165.58
  5. Step 5: Solve for x
    x = 20,575,255,165.58/206,551.70
  6. Step 6: Final answer
    x = 99,613.10

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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.