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Finding the Fourth Proportional to 102,137.78, 140,949.78 and 57,425.78

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Solution

The fourth proportional to 102,137.78, 140,949.78 and 57,425.78 is: 79,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,137.78 : 140,949.78 = 57,425.78 : x
  2. Step 2: Convert to fraction form
    102,137.78/140,949.78 = 57,425.78/x
  3. Step 3: Cross multiply
    102,137.78x = 140,949.78 × 57,425.78
  4. Step 4: Simplify right side
    102,137.78x = 8,094,151,057.33
  5. Step 5: Solve for x
    x = 8,094,151,057.33/102,137.78
  6. Step 6: Final answer
    x = 79,247.38

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1.5x scale

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.