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Finding the Fourth Proportional to 227,978.41, 342,004.78 and 70,206.86

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Solution

The fourth proportional to 227,978.41, 342,004.78 and 70,206.86 is: 105,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.41 : 342,004.78 = 70,206.86 : x
  2. Step 2: Convert to fraction form
    227,978.41/342,004.78 = 70,206.86/x
  3. Step 3: Cross multiply
    227,978.41x = 342,004.78 × 70,206.86
  4. Step 4: Simplify right side
    227,978.41x = 24,011,081,357.76
  5. Step 5: Solve for x
    x = 24,011,081,357.76/227,978.41
  6. Step 6: Final answer
    x = 105,321.73

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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.