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Finding the Fourth Proportional to 180,172.49, 270,091.58 and 85,446.97

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Solution

The fourth proportional to 180,172.49, 270,091.58 and 85,446.97 is: 128,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,172.49 : 270,091.58 = 85,446.97 : x
  2. Step 2: Convert to fraction form
    180,172.49/270,091.58 = 85,446.97/x
  3. Step 3: Cross multiply
    180,172.49x = 270,091.58 × 85,446.97
  4. Step 4: Simplify right side
    180,172.49x = 23,078,506,031.05
  5. Step 5: Solve for x
    x = 23,078,506,031.05/180,172.49
  6. Step 6: Final answer
    x = 128,091.18

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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.