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Finding the Fourth Proportional to 202,014.82, 278,782.39 and 111,374.11

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Solution

The fourth proportional to 202,014.82, 278,782.39 and 111,374.11 is: 153,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,014.82 : 278,782.39 = 111,374.11 : x
  2. Step 2: Convert to fraction form
    202,014.82/278,782.39 = 111,374.11/x
  3. Step 3: Cross multiply
    202,014.82x = 278,782.39 × 111,374.11
  4. Step 4: Simplify right side
    202,014.82x = 31,049,138,619.14
  5. Step 5: Solve for x
    x = 31,049,138,619.14/202,014.82
  6. Step 6: Final answer
    x = 153,697.33

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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.