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Finding the Fourth Proportional to 180,407.85, 270,718.68 and 100,512.69

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Solution

The fourth proportional to 180,407.85, 270,718.68 and 100,512.69 is: 150,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.85 : 270,718.68 = 100,512.69 : x
  2. Step 2: Convert to fraction form
    180,407.85/270,718.68 = 100,512.69/x
  3. Step 3: Cross multiply
    180,407.85x = 270,718.68 × 100,512.69
  4. Step 4: Simplify right side
    180,407.85x = 27,210,663,813.77
  5. Step 5: Solve for x
    x = 27,210,663,813.77/180,407.85
  6. Step 6: Final answer
    x = 150,828.60

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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.