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Finding the Fourth Proportional to 56,990.96, 78,647.38 and 31,840.46

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Solution

The fourth proportional to 56,990.96, 78,647.38 and 31,840.46 is: 43,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,990.96 : 78,647.38 = 31,840.46 : x
  2. Step 2: Convert to fraction form
    56,990.96/78,647.38 = 31,840.46/x
  3. Step 3: Cross multiply
    56,990.96x = 78,647.38 × 31,840.46
  4. Step 4: Simplify right side
    56,990.96x = 2,504,168,756.99
  5. Step 5: Solve for x
    x = 2,504,168,756.99/56,990.96
  6. Step 6: Final answer
    x = 43,939.75

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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.