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Finding the Fourth Proportional to 52,408.17, 78,611.32 and 12,965.28

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Solution

The fourth proportional to 52,408.17, 78,611.32 and 12,965.28 is: 19,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.17 : 78,611.32 = 12,965.28 : x
  2. Step 2: Convert to fraction form
    52,408.17/78,611.32 = 12,965.28/x
  3. Step 3: Cross multiply
    52,408.17x = 78,611.32 × 12,965.28
  4. Step 4: Simplify right side
    52,408.17x = 1,019,217,349.50
  5. Step 5: Solve for x
    x = 1,019,217,349.50/52,408.17
  6. Step 6: Final answer
    x = 19,447.68

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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.