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Finding the Fourth Proportional to 66,981.72, 100,475.01 and 20,235

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Solution

The fourth proportional to 66,981.72, 100,475.01 and 20,235 is: 30,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,981.72 : 100,475.01 = 20,235 : x
  2. Step 2: Convert to fraction form
    66,981.72/100,475.01 = 20,235/x
  3. Step 3: Cross multiply
    66,981.72x = 100,475.01 × 20,235
  4. Step 4: Simplify right side
    66,981.72x = 2,033,111,827.35
  5. Step 5: Solve for x
    x = 2,033,111,827.35/66,981.72
  6. Step 6: Final answer
    x = 30,353.23

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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.