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Finding the Fourth Proportional to 47,219.50, 65,157.06 and 31,939.39

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Solution

The fourth proportional to 47,219.50, 65,157.06 and 31,939.39 is: 44,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,219.50 : 65,157.06 = 31,939.39 : x
  2. Step 2: Convert to fraction form
    47,219.50/65,157.06 = 31,939.39/x
  3. Step 3: Cross multiply
    47,219.50x = 65,157.06 × 31,939.39
  4. Step 4: Simplify right side
    47,219.50x = 2,081,076,750.59
  5. Step 5: Solve for x
    x = 2,081,076,750.59/47,219.50
  6. Step 6: Final answer
    x = 44,072.40

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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.