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Finding the Fourth Proportional to 206,885.35, 310,036.43 and 127,764.55

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Solution

The fourth proportional to 206,885.35, 310,036.43 and 127,764.55 is: 191,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885.35 : 310,036.43 = 127,764.55 : x
  2. Step 2: Convert to fraction form
    206,885.35/310,036.43 = 127,764.55/x
  3. Step 3: Cross multiply
    206,885.35x = 310,036.43 × 127,764.55
  4. Step 4: Simplify right side
    206,885.35x = 39,611,664,323.73
  5. Step 5: Solve for x
    x = 39,611,664,323.73/206,885.35
  6. Step 6: Final answer
    x = 191,466.74

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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.