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Finding the Fourth Proportional to 180,105.01, 269,916.01 and 140,172.21

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Solution

The fourth proportional to 180,105.01, 269,916.01 and 140,172.21 is: 210,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,105.01 : 269,916.01 = 140,172.21 : x
  2. Step 2: Convert to fraction form
    180,105.01/269,916.01 = 140,172.21/x
  3. Step 3: Cross multiply
    180,105.01x = 269,916.01 × 140,172.21
  4. Step 4: Simplify right side
    180,105.01x = 37,834,723,636.08
  5. Step 5: Solve for x
    x = 37,834,723,636.08/180,105.01
  6. Step 6: Final answer
    x = 210,070.36

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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.