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Finding the Fourth Proportional to 104,707, 157,110.90 and 52,121.08

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Solution

The fourth proportional to 104,707, 157,110.90 and 52,121.08 is: 78,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,707 : 157,110.90 = 52,121.08 : x
  2. Step 2: Convert to fraction form
    104,707/157,110.90 = 52,121.08/x
  3. Step 3: Cross multiply
    104,707x = 157,110.90 × 52,121.08
  4. Step 4: Simplify right side
    104,707x = 8,188,789,787.77
  5. Step 5: Solve for x
    x = 8,188,789,787.77/104,707
  6. Step 6: Final answer
    x = 78,206.71

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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.