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Finding the Fourth Proportional to 85,164.40, 127,760.10 and 29,009.80

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Solution

The fourth proportional to 85,164.40, 127,760.10 and 29,009.80 is: 43,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164.40 : 127,760.10 = 29,009.80 : x
  2. Step 2: Convert to fraction form
    85,164.40/127,760.10 = 29,009.80/x
  3. Step 3: Cross multiply
    85,164.40x = 127,760.10 × 29,009.80
  4. Step 4: Simplify right side
    85,164.40x = 3,706,294,948.98
  5. Step 5: Solve for x
    x = 3,706,294,948.98/85,164.40
  6. Step 6: Final answer
    x = 43,519.30

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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.