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Finding the Fourth Proportional to 63,078, 94,617 and 35,378.16

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Solution

The fourth proportional to 63,078, 94,617 and 35,378.16 is: 53,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,078 : 94,617 = 35,378.16 : x
  2. Step 2: Convert to fraction form
    63,078/94,617 = 35,378.16/x
  3. Step 3: Cross multiply
    63,078x = 94,617 × 35,378.16
  4. Step 4: Simplify right side
    63,078x = 3,347,375,364.72
  5. Step 5: Solve for x
    x = 3,347,375,364.72/63,078
  6. Step 6: Final answer
    x = 53,067.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.