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Finding the Fourth Proportional to 78,324.01, 117,486 and 19,158.97

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Solution

The fourth proportional to 78,324.01, 117,486 and 19,158.97 is: 28,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324.01 : 117,486 = 19,158.97 : x
  2. Step 2: Convert to fraction form
    78,324.01/117,486 = 19,158.97/x
  3. Step 3: Cross multiply
    78,324.01x = 117,486 × 19,158.97
  4. Step 4: Simplify right side
    78,324.01x = 2,250,910,749.42
  5. Step 5: Solve for x
    x = 2,250,910,749.42/78,324.01
  6. Step 6: Final answer
    x = 28,738.45

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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.