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Finding the Fourth Proportional to 210,213.56, 315,311.52 and 97,855.16

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Solution

The fourth proportional to 210,213.56, 315,311.52 and 97,855.16 is: 146,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,213.56 : 315,311.52 = 97,855.16 : x
  2. Step 2: Convert to fraction form
    210,213.56/315,311.52 = 97,855.16/x
  3. Step 3: Cross multiply
    210,213.56x = 315,311.52 × 97,855.16
  4. Step 4: Simplify right side
    210,213.56x = 30,854,859,239.44
  5. Step 5: Solve for x
    x = 30,854,859,239.44/210,213.56
  6. Step 6: Final answer
    x = 146,778.63

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1.5x scale

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.