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Finding the Fourth Proportional to 51,115, 70,538.72 and 28,759

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Solution

The fourth proportional to 51,115, 70,538.72 and 28,759 is: 39,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,115 : 70,538.72 = 28,759 : x
  2. Step 2: Convert to fraction form
    51,115/70,538.72 = 28,759/x
  3. Step 3: Cross multiply
    51,115x = 70,538.72 × 28,759
  4. Step 4: Simplify right side
    51,115x = 2,028,623,048.48
  5. Step 5: Solve for x
    x = 2,028,623,048.48/51,115
  6. Step 6: Final answer
    x = 39,687.43

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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.