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Finding the Fourth Proportional to 114,419.62, 171,270.39 and 78,672.34

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Solution

The fourth proportional to 114,419.62, 171,270.39 and 78,672.34 is: 117,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,419.62 : 171,270.39 = 78,672.34 : x
  2. Step 2: Convert to fraction form
    114,419.62/171,270.39 = 78,672.34/x
  3. Step 3: Cross multiply
    114,419.62x = 171,270.39 × 78,672.34
  4. Step 4: Simplify right side
    114,419.62x = 13,474,242,354.01
  5. Step 5: Solve for x
    x = 13,474,242,354.01/114,419.62
  6. Step 6: Final answer
    x = 117,761.64

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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.