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Finding the Fourth Proportional to 85,293, 127,939.50 and 29,889

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Solution

The fourth proportional to 85,293, 127,939.50 and 29,889 is: 44,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,293 : 127,939.50 = 29,889 : x
  2. Step 2: Convert to fraction form
    85,293/127,939.50 = 29,889/x
  3. Step 3: Cross multiply
    85,293x = 127,939.50 × 29,889
  4. Step 4: Simplify right side
    85,293x = 3,823,983,715.50
  5. Step 5: Solve for x
    x = 3,823,983,715.50/85,293
  6. Step 6: Final answer
    x = 44,833.50

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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.