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Finding the Fourth Proportional to 66,803.91, 100,190.10 and 31,289.64

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Solution

The fourth proportional to 66,803.91, 100,190.10 and 31,289.64 is: 46,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,803.91 : 100,190.10 = 31,289.64 : x
  2. Step 2: Convert to fraction form
    66,803.91/100,190.10 = 31,289.64/x
  3. Step 3: Cross multiply
    66,803.91x = 100,190.10 × 31,289.64
  4. Step 4: Simplify right side
    66,803.91x = 3,134,912,160.56
  5. Step 5: Solve for x
    x = 3,134,912,160.56/66,803.91
  6. Step 6: Final answer
    x = 46,927.08

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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.