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Finding the Fourth Proportional to 215,058, 296,766 and 119,561.28

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Solution

The fourth proportional to 215,058, 296,766 and 119,561.28 is: 164,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,058 : 296,766 = 119,561.28 : x
  2. Step 2: Convert to fraction form
    215,058/296,766 = 119,561.28/x
  3. Step 3: Cross multiply
    215,058x = 296,766 × 119,561.28
  4. Step 4: Simplify right side
    215,058x = 35,481,722,820.48
  5. Step 5: Solve for x
    x = 35,481,722,820.48/215,058
  6. Step 6: Final answer
    x = 164,986.76

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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.