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Finding the Fourth Proportional to 69,280, 103,916.24 and 27,167.64

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Solution

The fourth proportional to 69,280, 103,916.24 and 27,167.64 is: 40,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,280 : 103,916.24 = 27,167.64 : x
  2. Step 2: Convert to fraction form
    69,280/103,916.24 = 27,167.64/x
  3. Step 3: Cross multiply
    69,280x = 103,916.24 × 27,167.64
  4. Step 4: Simplify right side
    69,280x = 2,823,158,998.47
  5. Step 5: Solve for x
    x = 2,823,158,998.47/69,280
  6. Step 6: Final answer
    x = 40,749.99

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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.