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Finding the Fourth Proportional to 76,798.80, 105,978.94 and 42,811

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Solution

The fourth proportional to 76,798.80, 105,978.94 and 42,811 is: 59,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.80 : 105,978.94 = 42,811 : x
  2. Step 2: Convert to fraction form
    76,798.80/105,978.94 = 42,811/x
  3. Step 3: Cross multiply
    76,798.80x = 105,978.94 × 42,811
  4. Step 4: Simplify right side
    76,798.80x = 4,537,064,400.34
  5. Step 5: Solve for x
    x = 4,537,064,400.34/76,798.80
  6. Step 6: Final answer
    x = 59,077.28

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