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Finding the Fourth Proportional to 71,309.68, 107,069.64 and 39,781.32

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Solution

The fourth proportional to 71,309.68, 107,069.64 and 39,781.32 is: 59,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,309.68 : 107,069.64 = 39,781.32 : x
  2. Step 2: Convert to fraction form
    71,309.68/107,069.64 = 39,781.32/x
  3. Step 3: Cross multiply
    71,309.68x = 107,069.64 × 39,781.32
  4. Step 4: Simplify right side
    71,309.68x = 4,259,371,611.12
  5. Step 5: Solve for x
    x = 4,259,371,611.12/71,309.68
  6. Step 6: Final answer
    x = 59,730.62

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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.