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Finding the Fourth Proportional to 102,097.16, 140,906.74 and 57,385.16

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Solution

The fourth proportional to 102,097.16, 140,906.74 and 57,385.16 is: 79,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.16 : 140,906.74 = 57,385.16 : x
  2. Step 2: Convert to fraction form
    102,097.16/140,906.74 = 57,385.16/x
  3. Step 3: Cross multiply
    102,097.16x = 140,906.74 × 57,385.16
  4. Step 4: Simplify right side
    102,097.16x = 8,085,955,819.98
  5. Step 5: Solve for x
    x = 8,085,955,819.98/102,097.16
  6. Step 6: Final answer
    x = 79,198.64

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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.