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Finding the Fourth Proportional to 47,728.60, 65,836.02 and 30,727.24

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Solution

The fourth proportional to 47,728.60, 65,836.02 and 30,727.24 is: 42,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.60 : 65,836.02 = 30,727.24 : x
  2. Step 2: Convert to fraction form
    47,728.60/65,836.02 = 30,727.24/x
  3. Step 3: Cross multiply
    47,728.60x = 65,836.02 × 30,727.24
  4. Step 4: Simplify right side
    47,728.60x = 2,022,959,187.18
  5. Step 5: Solve for x
    x = 2,022,959,187.18/47,728.60
  6. Step 6: Final answer
    x = 42,384.63

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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.