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Finding the Fourth Proportional to 113,711.70, 156,986.40 and 75,536.70

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Solution

The fourth proportional to 113,711.70, 156,986.40 and 75,536.70 is: 104,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,711.70 : 156,986.40 = 75,536.70 : x
  2. Step 2: Convert to fraction form
    113,711.70/156,986.40 = 75,536.70/x
  3. Step 3: Cross multiply
    113,711.70x = 156,986.40 × 75,536.70
  4. Step 4: Simplify right side
    113,711.70x = 11,858,234,600.88
  5. Step 5: Solve for x
    x = 11,858,234,600.88/113,711.70
  6. Step 6: Final answer
    x = 104,283.33

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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.