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Finding the Fourth Proportional to 197,375.03, 296,078.94 and 78,981.78

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Solution

The fourth proportional to 197,375.03, 296,078.94 and 78,981.78 is: 118,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,375.03 : 296,078.94 = 78,981.78 : x
  2. Step 2: Convert to fraction form
    197,375.03/296,078.94 = 78,981.78/x
  3. Step 3: Cross multiply
    197,375.03x = 296,078.94 × 78,981.78
  4. Step 4: Simplify right side
    197,375.03x = 23,384,841,701.71
  5. Step 5: Solve for x
    x = 23,384,841,701.71/197,375.03
  6. Step 6: Final answer
    x = 118,479.23

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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.