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Finding the Fourth Proportional to 69,139.86, 103,623.48 and 29,651.22

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Solution

The fourth proportional to 69,139.86, 103,623.48 and 29,651.22 is: 44,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139.86 : 103,623.48 = 29,651.22 : x
  2. Step 2: Convert to fraction form
    69,139.86/103,623.48 = 29,651.22/x
  3. Step 3: Cross multiply
    69,139.86x = 103,623.48 × 29,651.22
  4. Step 4: Simplify right side
    69,139.86x = 3,072,562,602.65
  5. Step 5: Solve for x
    x = 3,072,562,602.65/69,139.86
  6. Step 6: Final answer
    x = 44,439.82

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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.