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Finding the Fourth Proportional to 140,001, 210,001.50 and 41,505

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Solution

The fourth proportional to 140,001, 210,001.50 and 41,505 is: 62,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,001 : 210,001.50 = 41,505 : x
  2. Step 2: Convert to fraction form
    140,001/210,001.50 = 41,505/x
  3. Step 3: Cross multiply
    140,001x = 210,001.50 × 41,505
  4. Step 4: Simplify right side
    140,001x = 8,716,112,257.50
  5. Step 5: Solve for x
    x = 8,716,112,257.50/140,001
  6. Step 6: Final answer
    x = 62,257.50

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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.