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Finding the Fourth Proportional to 70,815.87, 106,192.01 and 20,878.43

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Solution

The fourth proportional to 70,815.87, 106,192.01 and 20,878.43 is: 31,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,815.87 : 106,192.01 = 20,878.43 : x
  2. Step 2: Convert to fraction form
    70,815.87/106,192.01 = 20,878.43/x
  3. Step 3: Cross multiply
    70,815.87x = 106,192.01 × 20,878.43
  4. Step 4: Simplify right side
    70,815.87x = 2,217,121,968.58
  5. Step 5: Solve for x
    x = 2,217,121,968.58/70,815.87
  6. Step 6: Final answer
    x = 31,308.26

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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.