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Finding the Fourth Proportional to 146,586, 202,289.76 and 79,518

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Solution

The fourth proportional to 146,586, 202,289.76 and 79,518 is: 109,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,586 : 202,289.76 = 79,518 : x
  2. Step 2: Convert to fraction form
    146,586/202,289.76 = 79,518/x
  3. Step 3: Cross multiply
    146,586x = 202,289.76 × 79,518
  4. Step 4: Simplify right side
    146,586x = 16,085,677,135.68
  5. Step 5: Solve for x
    x = 16,085,677,135.68/146,586
  6. Step 6: Final answer
    x = 109,735.43

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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.