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Finding the Fourth Proportional to 214,139.38, 295,500 and 118,640.38

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Solution

The fourth proportional to 214,139.38, 295,500 and 118,640.38 is: 163,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,139.38 : 295,500 = 118,640.38 : x
  2. Step 2: Convert to fraction form
    214,139.38/295,500 = 118,640.38/x
  3. Step 3: Cross multiply
    214,139.38x = 295,500 × 118,640.38
  4. Step 4: Simplify right side
    214,139.38x = 35,058,232,290
  5. Step 5: Solve for x
    x = 35,058,232,290/214,139.38
  6. Step 6: Final answer
    x = 163,716.89

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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.