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Finding the Fourth Proportional to 73,126.56, 109,689.85 and 17,722.56

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Solution

The fourth proportional to 73,126.56, 109,689.85 and 17,722.56 is: 26,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,126.56 : 109,689.85 = 17,722.56 : x
  2. Step 2: Convert to fraction form
    73,126.56/109,689.85 = 17,722.56/x
  3. Step 3: Cross multiply
    73,126.56x = 109,689.85 × 17,722.56
  4. Step 4: Simplify right side
    73,126.56x = 1,943,985,133.63
  5. Step 5: Solve for x
    x = 1,943,985,133.63/73,126.56
  6. Step 6: Final answer
    x = 26,583.84

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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.