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Finding the Fourth Proportional to 71,071.14, 106,611.84 and 20,468.10

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Solution

The fourth proportional to 71,071.14, 106,611.84 and 20,468.10 is: 30,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.14 : 106,611.84 = 20,468.10 : x
  2. Step 2: Convert to fraction form
    71,071.14/106,611.84 = 20,468.10/x
  3. Step 3: Cross multiply
    71,071.14x = 106,611.84 × 20,468.10
  4. Step 4: Simplify right side
    71,071.14x = 2,182,141,802.30
  5. Step 5: Solve for x
    x = 2,182,141,802.30/71,071.14
  6. Step 6: Final answer
    x = 30,703.63

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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.