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Finding the Fourth Proportional to 43,856, 65,776.72 and 15,770.38

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Solution

The fourth proportional to 43,856, 65,776.72 and 15,770.38 is: 23,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,856 : 65,776.72 = 15,770.38 : x
  2. Step 2: Convert to fraction form
    43,856/65,776.72 = 15,770.38/x
  3. Step 3: Cross multiply
    43,856x = 65,776.72 × 15,770.38
  4. Step 4: Simplify right side
    43,856x = 1,037,323,869.55
  5. Step 5: Solve for x
    x = 1,037,323,869.55/43,856
  6. Step 6: Final answer
    x = 23,652.95

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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.