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Finding the Fourth Proportional to 210,842.12, 290,982.15 and 115,363.16

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Solution

The fourth proportional to 210,842.12, 290,982.15 and 115,363.16 is: 159,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,842.12 : 290,982.15 = 115,363.16 : x
  2. Step 2: Convert to fraction form
    210,842.12/290,982.15 = 115,363.16/x
  3. Step 3: Cross multiply
    210,842.12x = 290,982.15 × 115,363.16
  4. Step 4: Simplify right side
    210,842.12x = 33,568,620,327.59
  5. Step 5: Solve for x
    x = 33,568,620,327.59/210,842.12
  6. Step 6: Final answer
    x = 159,212.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.