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Finding the Fourth Proportional to 210,575.65, 315,896.30 and 126,316.01

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Solution

The fourth proportional to 210,575.65, 315,896.30 and 126,316.01 is: 189,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,575.65 : 315,896.30 = 126,316.01 : x
  2. Step 2: Convert to fraction form
    210,575.65/315,896.30 = 126,316.01/x
  3. Step 3: Cross multiply
    210,575.65x = 315,896.30 × 126,316.01
  4. Step 4: Simplify right side
    210,575.65x = 39,902,760,189.76
  5. Step 5: Solve for x
    x = 39,902,760,189.76/210,575.65
  6. Step 6: Final answer
    x = 189,493.71

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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.