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Finding the Fourth Proportional to 202,057.65, 278,834.19 and 111,412.07

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Solution

The fourth proportional to 202,057.65, 278,834.19 and 111,412.07 is: 153,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,057.65 : 278,834.19 = 111,412.07 : x
  2. Step 2: Convert to fraction form
    202,057.65/278,834.19 = 111,412.07/x
  3. Step 3: Cross multiply
    202,057.65x = 278,834.19 × 111,412.07
  4. Step 4: Simplify right side
    202,057.65x = 31,065,494,294.67
  5. Step 5: Solve for x
    x = 31,065,494,294.67/202,057.65
  6. Step 6: Final answer
    x = 153,745.70

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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.