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Finding the Fourth Proportional to 68,076, 93,944.88 and 38,268

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Solution

The fourth proportional to 68,076, 93,944.88 and 38,268 is: 52,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076 : 93,944.88 = 38,268 : x
  2. Step 2: Convert to fraction form
    68,076/93,944.88 = 38,268/x
  3. Step 3: Cross multiply
    68,076x = 93,944.88 × 38,268
  4. Step 4: Simplify right side
    68,076x = 3,595,082,667.84
  5. Step 5: Solve for x
    x = 3,595,082,667.84/68,076
  6. Step 6: Final answer
    x = 52,809.84

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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.