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Finding the Fourth Proportional to 180,242.37, 270,442.59 and 85,540.95

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Solution

The fourth proportional to 180,242.37, 270,442.59 and 85,540.95 is: 128,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,242.37 : 270,442.59 = 85,540.95 : x
  2. Step 2: Convert to fraction form
    180,242.37/270,442.59 = 85,540.95/x
  3. Step 3: Cross multiply
    180,242.37x = 270,442.59 × 85,540.95
  4. Step 4: Simplify right side
    180,242.37x = 23,133,916,069.06
  5. Step 5: Solve for x
    x = 23,133,916,069.06/180,242.37
  6. Step 6: Final answer
    x = 128,348.93

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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.