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Finding the Fourth Proportional to 55,126.78, 82,690.17 and 13,573.78

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Solution

The fourth proportional to 55,126.78, 82,690.17 and 13,573.78 is: 20,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,126.78 : 82,690.17 = 13,573.78 : x
  2. Step 2: Convert to fraction form
    55,126.78/82,690.17 = 13,573.78/x
  3. Step 3: Cross multiply
    55,126.78x = 82,690.17 × 13,573.78
  4. Step 4: Simplify right side
    55,126.78x = 1,122,418,175.74
  5. Step 5: Solve for x
    x = 1,122,418,175.74/55,126.78
  6. Step 6: Final answer
    x = 20,360.67

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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.