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Finding the Fourth Proportional to 70,802.30, 106,186.43 and 20,868.90

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Solution

The fourth proportional to 70,802.30, 106,186.43 and 20,868.90 is: 31,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.30 : 106,186.43 = 20,868.90 : x
  2. Step 2: Convert to fraction form
    70,802.30/106,186.43 = 20,868.90/x
  3. Step 3: Cross multiply
    70,802.30x = 106,186.43 × 20,868.90
  4. Step 4: Simplify right side
    70,802.30x = 2,215,993,884.68
  5. Step 5: Solve for x
    x = 2,215,993,884.68/70,802.30
  6. Step 6: Final answer
    x = 31,298.33

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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.