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Finding the Fourth Proportional to 111,042, 166,565.43 and 51,861.78

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Solution

The fourth proportional to 111,042, 166,565.43 and 51,861.78 is: 77,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,042 : 166,565.43 = 51,861.78 : x
  2. Step 2: Convert to fraction form
    111,042/166,565.43 = 51,861.78/x
  3. Step 3: Cross multiply
    111,042x = 166,565.43 × 51,861.78
  4. Step 4: Simplify right side
    111,042x = 8,638,379,686.27
  5. Step 5: Solve for x
    x = 8,638,379,686.27/111,042
  6. Step 6: Final answer
    x = 77,793.80

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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.