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Finding the Fourth Proportional to 206,768.84, 310,161.16 and 64,627.20

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Solution

The fourth proportional to 206,768.84, 310,161.16 and 64,627.20 is: 96,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,768.84 : 310,161.16 = 64,627.20 : x
  2. Step 2: Convert to fraction form
    206,768.84/310,161.16 = 64,627.20/x
  3. Step 3: Cross multiply
    206,768.84x = 310,161.16 × 64,627.20
  4. Step 4: Simplify right side
    206,768.84x = 20,044,847,319.55
  5. Step 5: Solve for x
    x = 20,044,847,319.55/206,768.84
  6. Step 6: Final answer
    x = 96,943.27

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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.