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Finding the Fourth Proportional to 51,920, 71,649.55 and 28,046.67

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Solution

The fourth proportional to 51,920, 71,649.55 and 28,046.67 is: 38,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920 : 71,649.55 = 28,046.67 : x
  2. Step 2: Convert to fraction form
    51,920/71,649.55 = 28,046.67/x
  3. Step 3: Cross multiply
    51,920x = 71,649.55 × 28,046.67
  4. Step 4: Simplify right side
    51,920x = 2,009,530,786.02
  5. Step 5: Solve for x
    x = 2,009,530,786.02/51,920
  6. Step 6: Final answer
    x = 38,704.37

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1.5x scale

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.