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Finding the Fourth Proportional to 47,520, 65,517.93 and 30,494.21

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Solution

The fourth proportional to 47,520, 65,517.93 and 30,494.21 is: 42,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520 : 65,517.93 = 30,494.21 : x
  2. Step 2: Convert to fraction form
    47,520/65,517.93 = 30,494.21/x
  3. Step 3: Cross multiply
    47,520x = 65,517.93 × 30,494.21
  4. Step 4: Simplify right side
    47,520x = 1,997,917,188.60
  5. Step 5: Solve for x
    x = 1,997,917,188.60/47,520
  6. Step 6: Final answer
    x = 42,043.71

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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.