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Finding the Fourth Proportional to 201,911.88, 278,628.42 and 117,056.52

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Solution

The fourth proportional to 201,911.88, 278,628.42 and 117,056.52 is: 161,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,911.88 : 278,628.42 = 117,056.52 : x
  2. Step 2: Convert to fraction form
    201,911.88/278,628.42 = 117,056.52/x
  3. Step 3: Cross multiply
    201,911.88x = 278,628.42 × 117,056.52
  4. Step 4: Simplify right side
    201,911.88x = 32,615,273,218.30
  5. Step 5: Solve for x
    x = 32,615,273,218.30/201,911.88
  6. Step 6: Final answer
    x = 161,532.22

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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.