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Finding the Fourth Proportional to 69,641.49, 104,449.89 and 31,681.94

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Solution

The fourth proportional to 69,641.49, 104,449.89 and 31,681.94 is: 47,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,641.49 : 104,449.89 = 31,681.94 : x
  2. Step 2: Convert to fraction form
    69,641.49/104,449.89 = 31,681.94/x
  3. Step 3: Cross multiply
    69,641.49x = 104,449.89 × 31,681.94
  4. Step 4: Simplify right side
    69,641.49x = 3,309,175,349.71
  5. Step 5: Solve for x
    x = 3,309,175,349.71/69,641.49
  6. Step 6: Final answer
    x = 47,517.30

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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.