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Finding the Fourth Proportional to 30,854.82, 46,282.20 and 10,078.32

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Solution

The fourth proportional to 30,854.82, 46,282.20 and 10,078.32 is: 15,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.82 : 46,282.20 = 10,078.32 : x
  2. Step 2: Convert to fraction form
    30,854.82/46,282.20 = 10,078.32/x
  3. Step 3: Cross multiply
    30,854.82x = 46,282.20 × 10,078.32
  4. Step 4: Simplify right side
    30,854.82x = 466,446,821.90
  5. Step 5: Solve for x
    x = 466,446,821.90/30,854.82
  6. Step 6: Final answer
    x = 15,117.47

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