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Finding the Fourth Proportional to 76,538, 105,632.16 and 43,004

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Solution

The fourth proportional to 76,538, 105,632.16 and 43,004 is: 59,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538 : 105,632.16 = 43,004 : x
  2. Step 2: Convert to fraction form
    76,538/105,632.16 = 43,004/x
  3. Step 3: Cross multiply
    76,538x = 105,632.16 × 43,004
  4. Step 4: Simplify right side
    76,538x = 4,542,605,408.64
  5. Step 5: Solve for x
    x = 4,542,605,408.64/76,538
  6. Step 6: Final answer
    x = 59,350.98

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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.