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Finding the Fourth Proportional to 47,102.70, 70,661.74 and 13,823.84

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Solution

The fourth proportional to 47,102.70, 70,661.74 and 13,823.84 is: 20,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102.70 : 70,661.74 = 13,823.84 : x
  2. Step 2: Convert to fraction form
    47,102.70/70,661.74 = 13,823.84/x
  3. Step 3: Cross multiply
    47,102.70x = 70,661.74 × 13,823.84
  4. Step 4: Simplify right side
    47,102.70x = 976,816,587.88
  5. Step 5: Solve for x
    x = 976,816,587.88/47,102.70
  6. Step 6: Final answer
    x = 20,738.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.