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Finding the Fourth Proportional to 230,782.75, 318,480.60 and 130,180.75

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Solution

The fourth proportional to 230,782.75, 318,480.60 and 130,180.75 is: 179,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,782.75 : 318,480.60 = 130,180.75 : x
  2. Step 2: Convert to fraction form
    230,782.75/318,480.60 = 130,180.75/x
  3. Step 3: Cross multiply
    230,782.75x = 318,480.60 × 130,180.75
  4. Step 4: Simplify right side
    230,782.75x = 41,460,043,368.45
  5. Step 5: Solve for x
    x = 41,460,043,368.45/230,782.75
  6. Step 6: Final answer
    x = 179,649.66

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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.