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Finding the Fourth Proportional to 76,078.44, 104,976 and 47,822.40

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Solution

The fourth proportional to 76,078.44, 104,976 and 47,822.40 is: 65,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,078.44 : 104,976 = 47,822.40 : x
  2. Step 2: Convert to fraction form
    76,078.44/104,976 = 47,822.40/x
  3. Step 3: Cross multiply
    76,078.44x = 104,976 × 47,822.40
  4. Step 4: Simplify right side
    76,078.44x = 5,020,204,262.40
  5. Step 5: Solve for x
    x = 5,020,204,262.40/76,078.44
  6. Step 6: Final answer
    x = 65,987.21

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1.5x scale

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.