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Finding the Fourth Proportional to 78,569.38, 117,850.90 and 19,403.54

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Solution

The fourth proportional to 78,569.38, 117,850.90 and 19,403.54 is: 29,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,569.38 : 117,850.90 = 19,403.54 : x
  2. Step 2: Convert to fraction form
    78,569.38/117,850.90 = 19,403.54/x
  3. Step 3: Cross multiply
    78,569.38x = 117,850.90 × 19,403.54
  4. Step 4: Simplify right side
    78,569.38x = 2,286,724,652.19
  5. Step 5: Solve for x
    x = 2,286,724,652.19/78,569.38
  6. Step 6: Final answer
    x = 29,104.53

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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.