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Finding the Fourth Proportional to 78,098.38, 117,152.11 and 21,942.87

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Solution

The fourth proportional to 78,098.38, 117,152.11 and 21,942.87 is: 32,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.38 : 117,152.11 = 21,942.87 : x
  2. Step 2: Convert to fraction form
    78,098.38/117,152.11 = 21,942.87/x
  3. Step 3: Cross multiply
    78,098.38x = 117,152.11 × 21,942.87
  4. Step 4: Simplify right side
    78,098.38x = 2,570,653,519.96
  5. Step 5: Solve for x
    x = 2,570,653,519.96/78,098.38
  6. Step 6: Final answer
    x = 32,915.58

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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.