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Finding the Fourth Proportional to 113,296, 156,241.20 and 82,641.28

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Solution

The fourth proportional to 113,296, 156,241.20 and 82,641.28 is: 113,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,296 : 156,241.20 = 82,641.28 : x
  2. Step 2: Convert to fraction form
    113,296/156,241.20 = 82,641.28/x
  3. Step 3: Cross multiply
    113,296x = 156,241.20 × 82,641.28
  4. Step 4: Simplify right side
    113,296x = 12,911,972,756.74
  5. Step 5: Solve for x
    x = 12,911,972,756.74/113,296
  6. Step 6: Final answer
    x = 113,966.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.