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Finding the Fourth Proportional to 51,839, 71,544.12 and 29,186.48

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Solution

The fourth proportional to 51,839, 71,544.12 and 29,186.48 is: 40,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,839 : 71,544.12 = 29,186.48 : x
  2. Step 2: Convert to fraction form
    51,839/71,544.12 = 29,186.48/x
  3. Step 3: Cross multiply
    51,839x = 71,544.12 × 29,186.48
  4. Step 4: Simplify right side
    51,839x = 2,088,121,027.50
  5. Step 5: Solve for x
    x = 2,088,121,027.50/51,839
  6. Step 6: Final answer
    x = 40,280.89

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1.5x scale

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.