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Finding the Fourth Proportional to 85,102, 127,653 and 22,770.88

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Solution

The fourth proportional to 85,102, 127,653 and 22,770.88 is: 34,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,102 : 127,653 = 22,770.88 : x
  2. Step 2: Convert to fraction form
    85,102/127,653 = 22,770.88/x
  3. Step 3: Cross multiply
    85,102x = 127,653 × 22,770.88
  4. Step 4: Simplify right side
    85,102x = 2,906,771,144.64
  5. Step 5: Solve for x
    x = 2,906,771,144.64/85,102
  6. Step 6: Final answer
    x = 34,156.32

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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.