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Finding the Fourth Proportional to 180,070.27, 270,105.42 and 61,742.64

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Solution

The fourth proportional to 180,070.27, 270,105.42 and 61,742.64 is: 92,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,070.27 : 270,105.42 = 61,742.64 : x
  2. Step 2: Convert to fraction form
    180,070.27/270,105.42 = 61,742.64/x
  3. Step 3: Cross multiply
    180,070.27x = 270,105.42 × 61,742.64
  4. Step 4: Simplify right side
    180,070.27x = 16,677,021,086.89
  5. Step 5: Solve for x
    x = 16,677,021,086.89/180,070.27
  6. Step 6: Final answer
    x = 92,613.96

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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.