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Finding the Fourth Proportional to 85,109.40, 127,664.10 and 22,779.90

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Solution

The fourth proportional to 85,109.40, 127,664.10 and 22,779.90 is: 34,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,109.40 : 127,664.10 = 22,779.90 : x
  2. Step 2: Convert to fraction form
    85,109.40/127,664.10 = 22,779.90/x
  3. Step 3: Cross multiply
    85,109.40x = 127,664.10 × 22,779.90
  4. Step 4: Simplify right side
    85,109.40x = 2,908,175,431.59
  5. Step 5: Solve for x
    x = 2,908,175,431.59/85,109.40
  6. Step 6: Final answer
    x = 34,169.85

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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.