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Finding the Fourth Proportional to 210,687.57, 290,748.87 and 115,194.33

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Solution

The fourth proportional to 210,687.57, 290,748.87 and 115,194.33 is: 158,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,687.57 : 290,748.87 = 115,194.33 : x
  2. Step 2: Convert to fraction form
    210,687.57/290,748.87 = 115,194.33/x
  3. Step 3: Cross multiply
    210,687.57x = 290,748.87 × 115,194.33
  4. Step 4: Simplify right side
    210,687.57x = 33,492,621,277.91
  5. Step 5: Solve for x
    x = 33,492,621,277.91/210,687.57
  6. Step 6: Final answer
    x = 158,968.19

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Why These Related Problems?

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