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Finding the Fourth Proportional to 180,078.76, 270,117.87 and 53,715.70

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Solution

The fourth proportional to 180,078.76, 270,117.87 and 53,715.70 is: 80,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,078.76 : 270,117.87 = 53,715.70 : x
  2. Step 2: Convert to fraction form
    180,078.76/270,117.87 = 53,715.70/x
  3. Step 3: Cross multiply
    180,078.76x = 270,117.87 × 53,715.70
  4. Step 4: Simplify right side
    180,078.76x = 14,509,570,469.56
  5. Step 5: Solve for x
    x = 14,509,570,469.56/180,078.76
  6. Step 6: Final answer
    x = 80,573.47

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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.