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Finding the Fourth Proportional to 210,149.56, 315,046.92 and 97,771.76

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Solution

The fourth proportional to 210,149.56, 315,046.92 and 97,771.76 is: 146,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,149.56 : 315,046.92 = 97,771.76 : x
  2. Step 2: Convert to fraction form
    210,149.56/315,046.92 = 97,771.76/x
  3. Step 3: Cross multiply
    210,149.56x = 315,046.92 × 97,771.76
  4. Step 4: Simplify right side
    210,149.56x = 30,802,691,850.98
  5. Step 5: Solve for x
    x = 30,802,691,850.98/210,149.56
  6. Step 6: Final answer
    x = 146,575.10

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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.