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Finding the Fourth Proportional to 69,136.86, 103,619 and 29,648.16

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Solution

The fourth proportional to 69,136.86, 103,619 and 29,648.16 is: 44,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,136.86 : 103,619 = 29,648.16 : x
  2. Step 2: Convert to fraction form
    69,136.86/103,619 = 29,648.16/x
  3. Step 3: Cross multiply
    69,136.86x = 103,619 × 29,648.16
  4. Step 4: Simplify right side
    69,136.86x = 3,072,112,691.04
  5. Step 5: Solve for x
    x = 3,072,112,691.04/69,136.86
  6. Step 6: Final answer
    x = 44,435.24

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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.