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Finding the Fourth Proportional to 180,104.30, 270,156.45 and 67,809.71

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Solution

The fourth proportional to 180,104.30, 270,156.45 and 67,809.71 is: 101,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,104.30 : 270,156.45 = 67,809.71 : x
  2. Step 2: Convert to fraction form
    180,104.30/270,156.45 = 67,809.71/x
  3. Step 3: Cross multiply
    180,104.30x = 270,156.45 × 67,809.71
  4. Step 4: Simplify right side
    180,104.30x = 18,319,230,529.13
  5. Step 5: Solve for x
    x = 18,319,230,529.13/180,104.30
  6. Step 6: Final answer
    x = 101,714.57

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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.