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Finding the Fourth Proportional to 52,082, 71,873.44 and 28,208.74

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Solution

The fourth proportional to 52,082, 71,873.44 and 28,208.74 is: 38,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082 : 71,873.44 = 28,208.74 : x
  2. Step 2: Convert to fraction form
    52,082/71,873.44 = 28,208.74/x
  3. Step 3: Cross multiply
    52,082x = 71,873.44 × 28,208.74
  4. Step 4: Simplify right side
    52,082x = 2,027,459,181.87
  5. Step 5: Solve for x
    x = 2,027,459,181.87/52,082
  6. Step 6: Final answer
    x = 38,928.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.