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Finding the Fourth Proportional to 201,561.30, 278,148.71 and 110,917.23

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Solution

The fourth proportional to 201,561.30, 278,148.71 and 110,917.23 is: 153,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,561.30 : 278,148.71 = 110,917.23 : x
  2. Step 2: Convert to fraction form
    201,561.30/278,148.71 = 110,917.23/x
  3. Step 3: Cross multiply
    201,561.30x = 278,148.71 × 110,917.23
  4. Step 4: Simplify right side
    201,561.30x = 30,851,483,886.69
  5. Step 5: Solve for x
    x = 30,851,483,886.69/201,561.30
  6. Step 6: Final answer
    x = 153,062.54

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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.