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Finding the Fourth Proportional to 69,178.65, 103,792.50 and 34,142.91

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Solution

The fourth proportional to 69,178.65, 103,792.50 and 34,142.91 is: 51,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,178.65 : 103,792.50 = 34,142.91 : x
  2. Step 2: Convert to fraction form
    69,178.65/103,792.50 = 34,142.91/x
  3. Step 3: Cross multiply
    69,178.65x = 103,792.50 × 34,142.91
  4. Step 4: Simplify right side
    69,178.65x = 3,543,777,986.18
  5. Step 5: Solve for x
    x = 3,543,777,986.18/69,178.65
  6. Step 6: Final answer
    x = 51,226.47

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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.