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Finding the Fourth Proportional to 342,640.07, 514,076.85 and 102,759.78

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Solution

The fourth proportional to 342,640.07, 514,076.85 and 102,759.78 is: 154,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,640.07 : 514,076.85 = 102,759.78 : x
  2. Step 2: Convert to fraction form
    342,640.07/514,076.85 = 102,759.78/x
  3. Step 3: Cross multiply
    342,640.07x = 514,076.85 × 102,759.78
  4. Step 4: Simplify right side
    342,640.07x = 52,826,424,009.09
  5. Step 5: Solve for x
    x = 52,826,424,009.09/342,640.07
  6. Step 6: Final answer
    x = 154,174.68

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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.