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Finding the Fourth Proportional to 51,069, 70,475.22 and 28,713

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Solution

The fourth proportional to 51,069, 70,475.22 and 28,713 is: 39,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,069 : 70,475.22 = 28,713 : x
  2. Step 2: Convert to fraction form
    51,069/70,475.22 = 28,713/x
  3. Step 3: Cross multiply
    51,069x = 70,475.22 × 28,713
  4. Step 4: Simplify right side
    51,069x = 2,023,554,991.86
  5. Step 5: Solve for x
    x = 2,023,554,991.86/51,069
  6. Step 6: Final answer
    x = 39,623.94

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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.