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Finding the Fourth Proportional to 140,770, 211,111.31 and 50,801.03

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Solution

The fourth proportional to 140,770, 211,111.31 and 50,801.03 is: 76,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,770 : 211,111.31 = 50,801.03 : x
  2. Step 2: Convert to fraction form
    140,770/211,111.31 = 50,801.03/x
  3. Step 3: Cross multiply
    140,770x = 211,111.31 × 50,801.03
  4. Step 4: Simplify right side
    140,770x = 10,724,671,992.65
  5. Step 5: Solve for x
    x = 10,724,671,992.65/140,770
  6. Step 6: Final answer
    x = 76,185.78

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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.