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Finding the Fourth Proportional to 180,420.88, 270,840.78 and 105,594.73

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Solution

The fourth proportional to 180,420.88, 270,840.78 and 105,594.73 is: 158,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,420.88 : 270,840.78 = 105,594.73 : x
  2. Step 2: Convert to fraction form
    180,420.88/270,840.78 = 105,594.73/x
  3. Step 3: Cross multiply
    180,420.88x = 270,840.78 × 105,594.73
  4. Step 4: Simplify right side
    180,420.88x = 28,599,359,037.09
  5. Step 5: Solve for x
    x = 28,599,359,037.09/180,420.88
  6. Step 6: Final answer
    x = 158,514.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.