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Finding the Fourth Proportional to 76,734, 105,895.08 and 43,200

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Solution

The fourth proportional to 76,734, 105,895.08 and 43,200 is: 59,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,734 : 105,895.08 = 43,200 : x
  2. Step 2: Convert to fraction form
    76,734/105,895.08 = 43,200/x
  3. Step 3: Cross multiply
    76,734x = 105,895.08 × 43,200
  4. Step 4: Simplify right side
    76,734x = 4,574,667,456
  5. Step 5: Solve for x
    x = 4,574,667,456/76,734
  6. Step 6: Final answer
    x = 59,617.22

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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.