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Finding the Fourth Proportional to 210,410.10, 290,361.30 and 114,917.18

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Solution

The fourth proportional to 210,410.10, 290,361.30 and 114,917.18 is: 158,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,410.10 : 290,361.30 = 114,917.18 : x
  2. Step 2: Convert to fraction form
    210,410.10/290,361.30 = 114,917.18/x
  3. Step 3: Cross multiply
    210,410.10x = 290,361.30 × 114,917.18
  4. Step 4: Simplify right side
    210,410.10x = 33,367,501,777.13
  5. Step 5: Solve for x
    x = 33,367,501,777.13/210,410.10
  6. Step 6: Final answer
    x = 158,583.18

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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.