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Finding the Fourth Proportional to 76,549, 105,647.52 and 43,015

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Solution

The fourth proportional to 76,549, 105,647.52 and 43,015 is: 59,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549 : 105,647.52 = 43,015 : x
  2. Step 2: Convert to fraction form
    76,549/105,647.52 = 43,015/x
  3. Step 3: Cross multiply
    76,549x = 105,647.52 × 43,015
  4. Step 4: Simplify right side
    76,549x = 4,544,428,072.80
  5. Step 5: Solve for x
    x = 4,544,428,072.80/76,549
  6. Step 6: Final answer
    x = 59,366.26

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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.