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Finding the Fourth Proportional to 202,103, 278,898.39 and 111,467.39

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Solution

The fourth proportional to 202,103, 278,898.39 and 111,467.39 is: 153,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,103 : 278,898.39 = 111,467.39 : x
  2. Step 2: Convert to fraction form
    202,103/278,898.39 = 111,467.39/x
  3. Step 3: Cross multiply
    202,103x = 278,898.39 × 111,467.39
  4. Step 4: Simplify right side
    202,103x = 31,088,075,608.50
  5. Step 5: Solve for x
    x = 31,088,075,608.50/202,103
  6. Step 6: Final answer
    x = 153,822.93

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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.