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Finding the Fourth Proportional to 492,106.86, 738,160.30 and 118,129.86

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Solution

The fourth proportional to 492,106.86, 738,160.30 and 118,129.86 is: 177,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,106.86 : 738,160.30 = 118,129.86 : x
  2. Step 2: Convert to fraction form
    492,106.86/738,160.30 = 118,129.86/x
  3. Step 3: Cross multiply
    492,106.86x = 738,160.30 × 118,129.86
  4. Step 4: Simplify right side
    492,106.86x = 87,198,772,896.56
  5. Step 5: Solve for x
    x = 87,198,772,896.56/492,106.86
  6. Step 6: Final answer
    x = 177,194.79

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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.