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Finding the Fourth Proportional to 69,808.66, 96,338.36 and 37,978.70

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Solution

The fourth proportional to 69,808.66, 96,338.36 and 37,978.70 is: 52,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,808.66 : 96,338.36 = 37,978.70 : x
  2. Step 2: Convert to fraction form
    69,808.66/96,338.36 = 37,978.70/x
  3. Step 3: Cross multiply
    69,808.66x = 96,338.36 × 37,978.70
  4. Step 4: Simplify right side
    69,808.66x = 3,658,805,286.19
  5. Step 5: Solve for x
    x = 3,658,805,286.19/69,808.66
  6. Step 6: Final answer
    x = 52,411.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.