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Finding the Fourth Proportional to 166,430, 229,674.22 and 90,978.50

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Solution

The fourth proportional to 166,430, 229,674.22 and 90,978.50 is: 125,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,430 : 229,674.22 = 90,978.50 : x
  2. Step 2: Convert to fraction form
    166,430/229,674.22 = 90,978.50/x
  3. Step 3: Cross multiply
    166,430x = 229,674.22 × 90,978.50
  4. Step 4: Simplify right side
    166,430x = 20,895,416,024.27
  5. Step 5: Solve for x
    x = 20,895,416,024.27/166,430
  6. Step 6: Final answer
    x = 125,550.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.