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Finding the Fourth Proportional to 180,406.32, 270,603.88 and 85,704.66

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Solution

The fourth proportional to 180,406.32, 270,603.88 and 85,704.66 is: 128,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,406.32 : 270,603.88 = 85,704.66 : x
  2. Step 2: Convert to fraction form
    180,406.32/270,603.88 = 85,704.66/x
  3. Step 3: Cross multiply
    180,406.32x = 270,603.88 × 85,704.66
  4. Step 4: Simplify right side
    180,406.32x = 23,192,013,530.08
  5. Step 5: Solve for x
    x = 23,192,013,530.08/180,406.32
  6. Step 6: Final answer
    x = 128,554.33

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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.