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Finding the Fourth Proportional to 85,148, 127,724.16 and 29,744

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Solution

The fourth proportional to 85,148, 127,724.16 and 29,744 is: 44,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,148 : 127,724.16 = 29,744 : x
  2. Step 2: Convert to fraction form
    85,148/127,724.16 = 29,744/x
  3. Step 3: Cross multiply
    85,148x = 127,724.16 × 29,744
  4. Step 4: Simplify right side
    85,148x = 3,799,027,415.04
  5. Step 5: Solve for x
    x = 3,799,027,415.04/85,148
  6. Step 6: Final answer
    x = 44,616.75

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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.