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Finding the Fourth Proportional to 102,124.92, 140,874.87 and 61,278.48

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Solution

The fourth proportional to 102,124.92, 140,874.87 and 61,278.48 is: 84,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124.92 : 140,874.87 = 61,278.48 : x
  2. Step 2: Convert to fraction form
    102,124.92/140,874.87 = 61,278.48/x
  3. Step 3: Cross multiply
    102,124.92x = 140,874.87 × 61,278.48
  4. Step 4: Simplify right side
    102,124.92x = 8,632,597,903.80
  5. Step 5: Solve for x
    x = 8,632,597,903.80/102,124.92
  6. Step 6: Final answer
    x = 84,529.79

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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.