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Finding the Fourth Proportional to 76,638, 105,770.16 and 43,110.48

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Solution

The fourth proportional to 76,638, 105,770.16 and 43,110.48 is: 59,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638 : 105,770.16 = 43,110.48 : x
  2. Step 2: Convert to fraction form
    76,638/105,770.16 = 43,110.48/x
  3. Step 3: Cross multiply
    76,638x = 105,770.16 × 43,110.48
  4. Step 4: Simplify right side
    76,638x = 4,559,802,367.28
  5. Step 5: Solve for x
    x = 4,559,802,367.28/76,638
  6. Step 6: Final answer
    x = 59,497.93

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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.