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Finding the Fourth Proportional to 102,790, 141,850.20 and 58,078

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Solution

The fourth proportional to 102,790, 141,850.20 and 58,078 is: 80,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,790 : 141,850.20 = 58,078 : x
  2. Step 2: Convert to fraction form
    102,790/141,850.20 = 58,078/x
  3. Step 3: Cross multiply
    102,790x = 141,850.20 × 58,078
  4. Step 4: Simplify right side
    102,790x = 8,238,375,915.60
  5. Step 5: Solve for x
    x = 8,238,375,915.60/102,790
  6. Step 6: Final answer
    x = 80,147.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.