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Finding the Fourth Proportional to 76,706.56, 105,853.80 and 43,172.56

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Solution

The fourth proportional to 76,706.56, 105,853.80 and 43,172.56 is: 59,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,706.56 : 105,853.80 = 43,172.56 : x
  2. Step 2: Convert to fraction form
    76,706.56/105,853.80 = 43,172.56/x
  3. Step 3: Cross multiply
    76,706.56x = 105,853.80 × 43,172.56
  4. Step 4: Simplify right side
    76,706.56x = 4,569,979,531.73
  5. Step 5: Solve for x
    x = 4,569,979,531.73/76,706.56
  6. Step 6: Final answer
    x = 59,577.43

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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.