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Finding the Fourth Proportional to 69,920.84, 104,840.76 and 47,761

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Solution

The fourth proportional to 69,920.84, 104,840.76 and 47,761 is: 71,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,920.84 : 104,840.76 = 47,761 : x
  2. Step 2: Convert to fraction form
    69,920.84/104,840.76 = 47,761/x
  3. Step 3: Cross multiply
    69,920.84x = 104,840.76 × 47,761
  4. Step 4: Simplify right side
    69,920.84x = 5,007,299,538.36
  5. Step 5: Solve for x
    x = 5,007,299,538.36/69,920.84
  6. Step 6: Final answer
    x = 71,613.84

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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.