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Finding the Fourth Proportional to 207,369.80, 311,054.70 and 165,897.80

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Solution

The fourth proportional to 207,369.80, 311,054.70 and 165,897.80 is: 248,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,369.80 : 311,054.70 = 165,897.80 : x
  2. Step 2: Convert to fraction form
    207,369.80/311,054.70 = 165,897.80/x
  3. Step 3: Cross multiply
    207,369.80x = 311,054.70 × 165,897.80
  4. Step 4: Simplify right side
    207,369.80x = 51,603,290,409.66
  5. Step 5: Solve for x
    x = 51,603,290,409.66/207,369.80
  6. Step 6: Final answer
    x = 248,846.70

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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.