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Finding the Fourth Proportional to 177,782.90, 266,674.60 and 72,601.86

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Solution

The fourth proportional to 177,782.90, 266,674.60 and 72,601.86 is: 108,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,782.90 : 266,674.60 = 72,601.86 : x
  2. Step 2: Convert to fraction form
    177,782.90/266,674.60 = 72,601.86/x
  3. Step 3: Cross multiply
    177,782.90x = 266,674.60 × 72,601.86
  4. Step 4: Simplify right side
    177,782.90x = 19,361,071,793.25
  5. Step 5: Solve for x
    x = 19,361,071,793.25/177,782.90
  6. Step 6: Final answer
    x = 108,902.89

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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.