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Finding the Fourth Proportional to 85,151.08, 127,712.02 and 22,807

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Solution

The fourth proportional to 85,151.08, 127,712.02 and 22,807 is: 34,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,151.08 : 127,712.02 = 22,807 : x
  2. Step 2: Convert to fraction form
    85,151.08/127,712.02 = 22,807/x
  3. Step 3: Cross multiply
    85,151.08x = 127,712.02 × 22,807
  4. Step 4: Simplify right side
    85,151.08x = 2,912,728,040.14
  5. Step 5: Solve for x
    x = 2,912,728,040.14/85,151.08
  6. Step 6: Final answer
    x = 34,206.59

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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.