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Finding the Fourth Proportional to 71,428.56, 107,157.82 and 27,054.33

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Solution

The fourth proportional to 71,428.56, 107,157.82 and 27,054.33 is: 40,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428.56 : 107,157.82 = 27,054.33 : x
  2. Step 2: Convert to fraction form
    71,428.56/107,157.82 = 27,054.33/x
  3. Step 3: Cross multiply
    71,428.56x = 107,157.82 × 27,054.33
  4. Step 4: Simplify right side
    71,428.56x = 2,899,082,605.61
  5. Step 5: Solve for x
    x = 2,899,082,605.61/71,428.56
  6. Step 6: Final answer
    x = 40,587.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.