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Finding the Fourth Proportional to 85,329.60, 127,978.20 and 26,167.20

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Solution

The fourth proportional to 85,329.60, 127,978.20 and 26,167.20 is: 39,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.60 : 127,978.20 = 26,167.20 : x
  2. Step 2: Convert to fraction form
    85,329.60/127,978.20 = 26,167.20/x
  3. Step 3: Cross multiply
    85,329.60x = 127,978.20 × 26,167.20
  4. Step 4: Simplify right side
    85,329.60x = 3,348,831,155.04
  5. Step 5: Solve for x
    x = 3,348,831,155.04/85,329.60
  6. Step 6: Final answer
    x = 39,245.83

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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.