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Finding the Fourth Proportional to 196,543.80, 294,865.38 and 78,214.68

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Solution

The fourth proportional to 196,543.80, 294,865.38 and 78,214.68 is: 117,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,543.80 : 294,865.38 = 78,214.68 : x
  2. Step 2: Convert to fraction form
    196,543.80/294,865.38 = 78,214.68/x
  3. Step 3: Cross multiply
    196,543.80x = 294,865.38 × 78,214.68
  4. Step 4: Simplify right side
    196,543.80x = 23,062,801,339.78
  5. Step 5: Solve for x
    x = 23,062,801,339.78/196,543.80
  6. Step 6: Final answer
    x = 117,341.79

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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.