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Finding the Fourth Proportional to 210,223.65, 315,147.99 and 77,072.88

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Solution

The fourth proportional to 210,223.65, 315,147.99 and 77,072.88 is: 115,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,223.65 : 315,147.99 = 77,072.88 : x
  2. Step 2: Convert to fraction form
    210,223.65/315,147.99 = 77,072.88/x
  3. Step 3: Cross multiply
    210,223.65x = 315,147.99 × 77,072.88
  4. Step 4: Simplify right side
    210,223.65x = 24,289,363,504.53
  5. Step 5: Solve for x
    x = 24,289,363,504.53/210,223.65
  6. Step 6: Final answer
    x = 115,540.59

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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.