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Finding the Fourth Proportional to 202,168.65, 278,977.91 and 117,269.37

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Solution

The fourth proportional to 202,168.65, 278,977.91 and 117,269.37 is: 161,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,168.65 : 278,977.91 = 117,269.37 : x
  2. Step 2: Convert to fraction form
    202,168.65/278,977.91 = 117,269.37/x
  3. Step 3: Cross multiply
    202,168.65x = 278,977.91 × 117,269.37
  4. Step 4: Simplify right side
    202,168.65x = 32,715,563,163.27
  5. Step 5: Solve for x
    x = 32,715,563,163.27/202,168.65
  6. Step 6: Final answer
    x = 161,823.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.