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Finding the Fourth Proportional to 180,103.98, 270,071.12 and 105,245.76

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Solution

The fourth proportional to 180,103.98, 270,071.12 and 105,245.76 is: 157,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,103.98 : 270,071.12 = 105,245.76 : x
  2. Step 2: Convert to fraction form
    180,103.98/270,071.12 = 105,245.76/x
  3. Step 3: Cross multiply
    180,103.98x = 270,071.12 × 105,245.76
  4. Step 4: Simplify right side
    180,103.98x = 28,423,840,278.45
  5. Step 5: Solve for x
    x = 28,423,840,278.45/180,103.98
  6. Step 6: Final answer
    x = 157,819.06

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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.