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Finding the Fourth Proportional to 71,577.66, 107,396.82 and 38,289

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Solution

The fourth proportional to 71,577.66, 107,396.82 and 38,289 is: 57,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577.66 : 107,396.82 = 38,289 : x
  2. Step 2: Convert to fraction form
    71,577.66/107,396.82 = 38,289/x
  3. Step 3: Cross multiply
    71,577.66x = 107,396.82 × 38,289
  4. Step 4: Simplify right side
    71,577.66x = 4,112,116,840.98
  5. Step 5: Solve for x
    x = 4,112,116,840.98/71,577.66
  6. Step 6: Final answer
    x = 57,449.72

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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.