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Finding the Fourth Proportional to 210,820.43, 315,723.87 and 120,589.67

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Solution

The fourth proportional to 210,820.43, 315,723.87 and 120,589.67 is: 180,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,820.43 : 315,723.87 = 120,589.67 : x
  2. Step 2: Convert to fraction form
    210,820.43/315,723.87 = 120,589.67/x
  3. Step 3: Cross multiply
    210,820.43x = 315,723.87 × 120,589.67
  4. Step 4: Simplify right side
    210,820.43x = 38,073,038,083.73
  5. Step 5: Solve for x
    x = 38,073,038,083.73/210,820.43
  6. Step 6: Final answer
    x = 180,594.63

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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.