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Finding the Fourth Proportional to 78,372.53, 117,558.79 and 19,208.78

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Solution

The fourth proportional to 78,372.53, 117,558.79 and 19,208.78 is: 28,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372.53 : 117,558.79 = 19,208.78 : x
  2. Step 2: Convert to fraction form
    78,372.53/117,558.79 = 19,208.78/x
  3. Step 3: Cross multiply
    78,372.53x = 117,558.79 × 19,208.78
  4. Step 4: Simplify right side
    78,372.53x = 2,258,160,346.38
  5. Step 5: Solve for x
    x = 2,258,160,346.38/78,372.53
  6. Step 6: Final answer
    x = 28,813.16

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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.