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Finding the Fourth Proportional to 259,722.60, 389,583.90 and 101,956.20

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Solution

The fourth proportional to 259,722.60, 389,583.90 and 101,956.20 is: 152,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722.60 : 389,583.90 = 101,956.20 : x
  2. Step 2: Convert to fraction form
    259,722.60/389,583.90 = 101,956.20/x
  3. Step 3: Cross multiply
    259,722.60x = 389,583.90 × 101,956.20
  4. Step 4: Simplify right side
    259,722.60x = 39,720,494,025.18
  5. Step 5: Solve for x
    x = 39,720,494,025.18/259,722.60
  6. Step 6: Final answer
    x = 152,934.30

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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.