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Finding the Fourth Proportional to 113,600, 156,761.48 and 65,191.68

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Solution

The fourth proportional to 113,600, 156,761.48 and 65,191.68 is: 89,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,600 : 156,761.48 = 65,191.68 : x
  2. Step 2: Convert to fraction form
    113,600/156,761.48 = 65,191.68/x
  3. Step 3: Cross multiply
    113,600x = 156,761.48 × 65,191.68
  4. Step 4: Simplify right side
    113,600x = 10,219,544,240.49
  5. Step 5: Solve for x
    x = 10,219,544,240.49/113,600
  6. Step 6: Final answer
    x = 89,960.78

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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.