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Finding the Fourth Proportional to 70,763.84, 106,109.18 and 20,837.47

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Solution

The fourth proportional to 70,763.84, 106,109.18 and 20,837.47 is: 31,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,763.84 : 106,109.18 = 20,837.47 : x
  2. Step 2: Convert to fraction form
    70,763.84/106,109.18 = 20,837.47/x
  3. Step 3: Cross multiply
    70,763.84x = 106,109.18 × 20,837.47
  4. Step 4: Simplify right side
    70,763.84x = 2,211,046,220.24
  5. Step 5: Solve for x
    x = 2,211,046,220.24/70,763.84
  6. Step 6: Final answer
    x = 31,245.42

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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.