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Finding the Fourth Proportional to 56,907.92, 78,540.36 and 31,762.64

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Solution

The fourth proportional to 56,907.92, 78,540.36 and 31,762.64 is: 43,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,907.92 : 78,540.36 = 31,762.64 : x
  2. Step 2: Convert to fraction form
    56,907.92/78,540.36 = 31,762.64/x
  3. Step 3: Cross multiply
    56,907.92x = 78,540.36 × 31,762.64
  4. Step 4: Simplify right side
    56,907.92x = 2,494,649,180.15
  5. Step 5: Solve for x
    x = 2,494,649,180.15/56,907.92
  6. Step 6: Final answer
    x = 43,836.59

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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.