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Finding the Fourth Proportional to 214,131.80, 295,504.26 and 118,640

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Solution

The fourth proportional to 214,131.80, 295,504.26 and 118,640 is: 163,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,131.80 : 295,504.26 = 118,640 : x
  2. Step 2: Convert to fraction form
    214,131.80/295,504.26 = 118,640/x
  3. Step 3: Cross multiply
    214,131.80x = 295,504.26 × 118,640
  4. Step 4: Simplify right side
    214,131.80x = 35,058,625,406.40
  5. Step 5: Solve for x
    x = 35,058,625,406.40/214,131.80
  6. Step 6: Final answer
    x = 163,724.52

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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.