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Finding the Fourth Proportional to 51,309.85, 70,806.91 and 28,649.22

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Solution

The fourth proportional to 51,309.85, 70,806.91 and 28,649.22 is: 39,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309.85 : 70,806.91 = 28,649.22 : x
  2. Step 2: Convert to fraction form
    51,309.85/70,806.91 = 28,649.22/x
  3. Step 3: Cross multiply
    51,309.85x = 70,806.91 × 28,649.22
  4. Step 4: Simplify right side
    51,309.85x = 2,028,562,742.11
  5. Step 5: Solve for x
    x = 2,028,562,742.11/51,309.85
  6. Step 6: Final answer
    x = 39,535.54

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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.