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Finding the Fourth Proportional to 85,137.60, 127,696.16 and 22,813.12

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Solution

The fourth proportional to 85,137.60, 127,696.16 and 22,813.12 is: 34,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137.60 : 127,696.16 = 22,813.12 : x
  2. Step 2: Convert to fraction form
    85,137.60/127,696.16 = 22,813.12/x
  3. Step 3: Cross multiply
    85,137.60x = 127,696.16 × 22,813.12
  4. Step 4: Simplify right side
    85,137.60x = 2,913,147,821.62
  5. Step 5: Solve for x
    x = 2,913,147,821.62/85,137.60
  6. Step 6: Final answer
    x = 34,216.94

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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.