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Finding the Fourth Proportional to 210,012.59, 315,020.03 and 52,241.05

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Solution

The fourth proportional to 210,012.59, 315,020.03 and 52,241.05 is: 78,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,012.59 : 315,020.03 = 52,241.05 : x
  2. Step 2: Convert to fraction form
    210,012.59/315,020.03 = 52,241.05/x
  3. Step 3: Cross multiply
    210,012.59x = 315,020.03 × 52,241.05
  4. Step 4: Simplify right side
    210,012.59x = 16,456,977,138.23
  5. Step 5: Solve for x
    x = 16,456,977,138.23/210,012.59
  6. Step 6: Final answer
    x = 78,361.86

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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.