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Finding the Fourth Proportional to 78,096.15, 117,143.19 and 18,932.34

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Solution

The fourth proportional to 78,096.15, 117,143.19 and 18,932.34 is: 28,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096.15 : 117,143.19 = 18,932.34 : x
  2. Step 2: Convert to fraction form
    78,096.15/117,143.19 = 18,932.34/x
  3. Step 3: Cross multiply
    78,096.15x = 117,143.19 × 18,932.34
  4. Step 4: Simplify right side
    78,096.15x = 2,217,794,701.76
  5. Step 5: Solve for x
    x = 2,217,794,701.76/78,096.15
  6. Step 6: Final answer
    x = 28,398.26

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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.