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Finding the Fourth Proportional to 202,176, 278,912.70 and 117,243.88

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Solution

The fourth proportional to 202,176, 278,912.70 and 117,243.88 is: 161,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176 : 278,912.70 = 117,243.88 : x
  2. Step 2: Convert to fraction form
    202,176/278,912.70 = 117,243.88/x
  3. Step 3: Cross multiply
    202,176x = 278,912.70 × 117,243.88
  4. Step 4: Simplify right side
    202,176x = 32,700,807,129.28
  5. Step 5: Solve for x
    x = 32,700,807,129.28/202,176
  6. Step 6: Final answer
    x = 161,744.26

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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.