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Finding the Fourth Proportional to 180,413.46, 270,614.52 and 85,711.80

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Solution

The fourth proportional to 180,413.46, 270,614.52 and 85,711.80 is: 128,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,413.46 : 270,614.52 = 85,711.80 : x
  2. Step 2: Convert to fraction form
    180,413.46/270,614.52 = 85,711.80/x
  3. Step 3: Cross multiply
    180,413.46x = 270,614.52 × 85,711.80
  4. Step 4: Simplify right side
    180,413.46x = 23,194,857,615.34
  5. Step 5: Solve for x
    x = 23,194,857,615.34/180,413.46
  6. Step 6: Final answer
    x = 128,565.01

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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.