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Finding the Fourth Proportional to 202,005.46, 278,769.43 and 111,364.67

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Solution

The fourth proportional to 202,005.46, 278,769.43 and 111,364.67 is: 153,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.46 : 278,769.43 = 111,364.67 : x
  2. Step 2: Convert to fraction form
    202,005.46/278,769.43 = 111,364.67/x
  3. Step 3: Cross multiply
    202,005.46x = 278,769.43 × 111,364.67
  4. Step 4: Simplify right side
    202,005.46x = 31,045,066,414.17
  5. Step 5: Solve for x
    x = 31,045,066,414.17/202,005.46
  6. Step 6: Final answer
    x = 153,684.29

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1.5x scale

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.