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Finding the Fourth Proportional to 47,620.84, 65,645.22 and 31,671.40

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Solution

The fourth proportional to 47,620.84, 65,645.22 and 31,671.40 is: 43,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,620.84 : 65,645.22 = 31,671.40 : x
  2. Step 2: Convert to fraction form
    47,620.84/65,645.22 = 31,671.40/x
  3. Step 3: Cross multiply
    47,620.84x = 65,645.22 × 31,671.40
  4. Step 4: Simplify right side
    47,620.84x = 2,079,076,020.71
  5. Step 5: Solve for x
    x = 2,079,076,020.71/47,620.84
  6. Step 6: Final answer
    x = 43,658.95

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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.