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Finding the Fourth Proportional to 100,535.40, 150,605.82 and 81,835.56

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Solution

The fourth proportional to 100,535.40, 150,605.82 and 81,835.56 is: 122,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,535.40 : 150,605.82 = 81,835.56 : x
  2. Step 2: Convert to fraction form
    100,535.40/150,605.82 = 81,835.56/x
  3. Step 3: Cross multiply
    100,535.40x = 150,605.82 × 81,835.56
  4. Step 4: Simplify right side
    100,535.40x = 12,324,911,618.96
  5. Step 5: Solve for x
    x = 12,324,911,618.96/100,535.40
  6. Step 6: Final answer
    x = 122,592.75

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1.5x scale

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.