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Finding the Fourth Proportional to 197,642.76, 296,478 and 79,314.18

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Solution

The fourth proportional to 197,642.76, 296,478 and 79,314.18 is: 118,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,642.76 : 296,478 = 79,314.18 : x
  2. Step 2: Convert to fraction form
    197,642.76/296,478 = 79,314.18/x
  3. Step 3: Cross multiply
    197,642.76x = 296,478 × 79,314.18
  4. Step 4: Simplify right side
    197,642.76x = 23,514,909,458.04
  5. Step 5: Solve for x
    x = 23,514,909,458.04/197,642.76
  6. Step 6: Final answer
    x = 118,976.83

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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.