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Finding the Fourth Proportional to 51,269, 70,751.22 and 28,913

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Solution

The fourth proportional to 51,269, 70,751.22 and 28,913 is: 39,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,269 : 70,751.22 = 28,913 : x
  2. Step 2: Convert to fraction form
    51,269/70,751.22 = 28,913/x
  3. Step 3: Cross multiply
    51,269x = 70,751.22 × 28,913
  4. Step 4: Simplify right side
    51,269x = 2,045,630,023.86
  5. Step 5: Solve for x
    x = 2,045,630,023.86/51,269
  6. Step 6: Final answer
    x = 39,899.94

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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.