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Finding the Fourth Proportional to 259,871.50, 358,622.67 and 140,639.50

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Solution

The fourth proportional to 259,871.50, 358,622.67 and 140,639.50 is: 194,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,871.50 : 358,622.67 = 140,639.50 : x
  2. Step 2: Convert to fraction form
    259,871.50/358,622.67 = 140,639.50/x
  3. Step 3: Cross multiply
    259,871.50x = 358,622.67 × 140,639.50
  4. Step 4: Simplify right side
    259,871.50x = 50,436,512,997.47
  5. Step 5: Solve for x
    x = 50,436,512,997.47/259,871.50
  6. Step 6: Final answer
    x = 194,082.51

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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.