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Finding the Fourth Proportional to 177,847.74, 266,863.64 and 78,078.02

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Solution

The fourth proportional to 177,847.74, 266,863.64 and 78,078.02 is: 117,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,847.74 : 266,863.64 = 78,078.02 : x
  2. Step 2: Convert to fraction form
    177,847.74/266,863.64 = 78,078.02/x
  3. Step 3: Cross multiply
    177,847.74x = 266,863.64 × 78,078.02
  4. Step 4: Simplify right side
    177,847.74x = 20,836,182,896.48
  5. Step 5: Solve for x
    x = 20,836,182,896.48/177,847.74
  6. Step 6: Final answer
    x = 117,157.42

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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.