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Finding the Fourth Proportional to 76,678.50, 105,816.36 and 43,144.50

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Solution

The fourth proportional to 76,678.50, 105,816.36 and 43,144.50 is: 59,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678.50 : 105,816.36 = 43,144.50 : x
  2. Step 2: Convert to fraction form
    76,678.50/105,816.36 = 43,144.50/x
  3. Step 3: Cross multiply
    76,678.50x = 105,816.36 × 43,144.50
  4. Step 4: Simplify right side
    76,678.50x = 4,565,393,944.02
  5. Step 5: Solve for x
    x = 4,565,393,944.02/76,678.50
  6. Step 6: Final answer
    x = 59,539.43

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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.