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Finding the Fourth Proportional to 78,494.38, 117,740.54 and 19,330.54

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Solution

The fourth proportional to 78,494.38, 117,740.54 and 19,330.54 is: 28,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.38 : 117,740.54 = 19,330.54 : x
  2. Step 2: Convert to fraction form
    78,494.38/117,740.54 = 19,330.54/x
  3. Step 3: Cross multiply
    78,494.38x = 117,740.54 × 19,330.54
  4. Step 4: Simplify right side
    78,494.38x = 2,275,988,218.09
  5. Step 5: Solve for x
    x = 2,275,988,218.09/78,494.38
  6. Step 6: Final answer
    x = 28,995.56

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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.