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Finding the Fourth Proportional to 76,474.44, 105,531.30 and 42,485.31

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Solution

The fourth proportional to 76,474.44, 105,531.30 and 42,485.31 is: 58,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474.44 : 105,531.30 = 42,485.31 : x
  2. Step 2: Convert to fraction form
    76,474.44/105,531.30 = 42,485.31/x
  3. Step 3: Cross multiply
    76,474.44x = 105,531.30 × 42,485.31
  4. Step 4: Simplify right side
    76,474.44x = 4,483,529,995.20
  5. Step 5: Solve for x
    x = 4,483,529,995.20/76,474.44
  6. Step 6: Final answer
    x = 58,627.82

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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.