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Finding the Fourth Proportional to 51,333, 70,839.54 and 28,977

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Solution

The fourth proportional to 51,333, 70,839.54 and 28,977 is: 39,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,333 : 70,839.54 = 28,977 : x
  2. Step 2: Convert to fraction form
    51,333/70,839.54 = 28,977/x
  3. Step 3: Cross multiply
    51,333x = 70,839.54 × 28,977
  4. Step 4: Simplify right side
    51,333x = 2,052,717,350.58
  5. Step 5: Solve for x
    x = 2,052,717,350.58/51,333
  6. Step 6: Final answer
    x = 39,988.26

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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.