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Finding the Fourth Proportional to 201,741.44, 278,470.32 and 138,263.36

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Solution

The fourth proportional to 201,741.44, 278,470.32 and 138,263.36 is: 190,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,741.44 : 278,470.32 = 138,263.36 : x
  2. Step 2: Convert to fraction form
    201,741.44/278,470.32 = 138,263.36/x
  3. Step 3: Cross multiply
    201,741.44x = 278,470.32 × 138,263.36
  4. Step 4: Simplify right side
    201,741.44x = 38,502,242,103.48
  5. Step 5: Solve for x
    x = 38,502,242,103.48/201,741.44
  6. Step 6: Final answer
    x = 190,849.45

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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.