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Finding the Fourth Proportional to 291,081.26, 401,691.54 and 163,757

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Solution

The fourth proportional to 291,081.26, 401,691.54 and 163,757 is: 225,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,081.26 : 401,691.54 = 163,757 : x
  2. Step 2: Convert to fraction form
    291,081.26/401,691.54 = 163,757/x
  3. Step 3: Cross multiply
    291,081.26x = 401,691.54 × 163,757
  4. Step 4: Simplify right side
    291,081.26x = 65,779,801,515.78
  5. Step 5: Solve for x
    x = 65,779,801,515.78/291,081.26
  6. Step 6: Final answer
    x = 225,984.32

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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.