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Finding the Fourth Proportional to 166,778, 250,127.64 and 54,429.20

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Solution

The fourth proportional to 166,778, 250,127.64 and 54,429.20 is: 81,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,778 : 250,127.64 = 54,429.20 : x
  2. Step 2: Convert to fraction form
    166,778/250,127.64 = 54,429.20/x
  3. Step 3: Cross multiply
    166,778x = 250,127.64 × 54,429.20
  4. Step 4: Simplify right side
    166,778x = 13,614,247,343.09
  5. Step 5: Solve for x
    x = 13,614,247,343.09/166,778
  6. Step 6: Final answer
    x = 81,630.95

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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.