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Finding the Fourth Proportional to 177,089.22, 265,640.31 and 71,905.86

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Solution

The fourth proportional to 177,089.22, 265,640.31 and 71,905.86 is: 107,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,089.22 : 265,640.31 = 71,905.86 : x
  2. Step 2: Convert to fraction form
    177,089.22/265,640.31 = 71,905.86/x
  3. Step 3: Cross multiply
    177,089.22x = 265,640.31 × 71,905.86
  4. Step 4: Simplify right side
    177,089.22x = 19,101,094,941.22
  5. Step 5: Solve for x
    x = 19,101,094,941.22/177,089.22
  6. Step 6: Final answer
    x = 107,861.42

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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.