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Finding the Fourth Proportional to 177,911.76, 266,866.92 and 71,343.36

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Solution

The fourth proportional to 177,911.76, 266,866.92 and 71,343.36 is: 107,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,911.76 : 266,866.92 = 71,343.36 : x
  2. Step 2: Convert to fraction form
    177,911.76/266,866.92 = 71,343.36/x
  3. Step 3: Cross multiply
    177,911.76x = 266,866.92 × 71,343.36
  4. Step 4: Simplify right side
    177,911.76x = 19,039,182,745.65
  5. Step 5: Solve for x
    x = 19,039,182,745.65/177,911.76
  6. Step 6: Final answer
    x = 107,014.75

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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.