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Finding the Fourth Proportional to 210,551.40, 315,793.69 and 68,400.05

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Solution

The fourth proportional to 210,551.40, 315,793.69 and 68,400.05 is: 102,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,551.40 : 315,793.69 = 68,400.05 : x
  2. Step 2: Convert to fraction form
    210,551.40/315,793.69 = 68,400.05/x
  3. Step 3: Cross multiply
    210,551.40x = 315,793.69 × 68,400.05
  4. Step 4: Simplify right side
    210,551.40x = 21,600,302,435.72
  5. Step 5: Solve for x
    x = 21,600,302,435.72/210,551.40
  6. Step 6: Final answer
    x = 102,589.21

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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.