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Finding the Fourth Proportional to 85,163.40, 127,762.92 and 28,999.08

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Solution

The fourth proportional to 85,163.40, 127,762.92 and 28,999.08 is: 43,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,163.40 : 127,762.92 = 28,999.08 : x
  2. Step 2: Convert to fraction form
    85,163.40/127,762.92 = 28,999.08/x
  3. Step 3: Cross multiply
    85,163.40x = 127,762.92 × 28,999.08
  4. Step 4: Simplify right side
    85,163.40x = 3,705,007,138.11
  5. Step 5: Solve for x
    x = 3,705,007,138.11/85,163.40
  6. Step 6: Final answer
    x = 43,504.69

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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.