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Finding the Fourth Proportional to 228,567, 342,784.31 and 68,636.48

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Solution

The fourth proportional to 228,567, 342,784.31 and 68,636.48 is: 102,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,567 : 342,784.31 = 68,636.48 : x
  2. Step 2: Convert to fraction form
    228,567/342,784.31 = 68,636.48/x
  3. Step 3: Cross multiply
    228,567x = 342,784.31 × 68,636.48
  4. Step 4: Simplify right side
    228,567x = 23,527,506,380.52
  5. Step 5: Solve for x
    x = 23,527,506,380.52/228,567
  6. Step 6: Final answer
    x = 102,934.83

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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.