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Finding the Fourth Proportional to 69,106.52, 103,611.68 and 30,617.12

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Solution

The fourth proportional to 69,106.52, 103,611.68 and 30,617.12 is: 45,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.52 : 103,611.68 = 30,617.12 : x
  2. Step 2: Convert to fraction form
    69,106.52/103,611.68 = 30,617.12/x
  3. Step 3: Cross multiply
    69,106.52x = 103,611.68 × 30,617.12
  4. Step 4: Simplify right side
    69,106.52x = 3,172,290,645.36
  5. Step 5: Solve for x
    x = 3,172,290,645.36/69,106.52
  6. Step 6: Final answer
    x = 45,904.36

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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.