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Finding the Fourth Proportional to 111,327, 167,000.28 and 28,221

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Solution

The fourth proportional to 111,327, 167,000.28 and 28,221 is: 42,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,327 : 167,000.28 = 28,221 : x
  2. Step 2: Convert to fraction form
    111,327/167,000.28 = 28,221/x
  3. Step 3: Cross multiply
    111,327x = 167,000.28 × 28,221
  4. Step 4: Simplify right side
    111,327x = 4,712,914,901.88
  5. Step 5: Solve for x
    x = 4,712,914,901.88/111,327
  6. Step 6: Final answer
    x = 42,333.98

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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.