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Finding the Fourth Proportional to 52,164.82, 78,248.04 and 12,722.68

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Solution

The fourth proportional to 52,164.82, 78,248.04 and 12,722.68 is: 19,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164.82 : 78,248.04 = 12,722.68 : x
  2. Step 2: Convert to fraction form
    52,164.82/78,248.04 = 12,722.68/x
  3. Step 3: Cross multiply
    52,164.82x = 78,248.04 × 12,722.68
  4. Step 4: Simplify right side
    52,164.82x = 995,524,773.55
  5. Step 5: Solve for x
    x = 995,524,773.55/52,164.82
  6. Step 6: Final answer
    x = 19,084.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.