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Finding the Fourth Proportional to 101,742.78, 140,375.78 and 58,718.82

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Solution

The fourth proportional to 101,742.78, 140,375.78 and 58,718.82 is: 81,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.78 : 140,375.78 = 58,718.82 : x
  2. Step 2: Convert to fraction form
    101,742.78/140,375.78 = 58,718.82/x
  3. Step 3: Cross multiply
    101,742.78x = 140,375.78 × 58,718.82
  4. Step 4: Simplify right side
    101,742.78x = 8,242,700,158.18
  5. Step 5: Solve for x
    x = 8,242,700,158.18/101,742.78
  6. Step 6: Final answer
    x = 81,015.09

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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.