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Finding the Fourth Proportional to 105,819.20, 158,728.80 and 101,736.80

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Solution

The fourth proportional to 105,819.20, 158,728.80 and 101,736.80 is: 152,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,819.20 : 158,728.80 = 101,736.80 : x
  2. Step 2: Convert to fraction form
    105,819.20/158,728.80 = 101,736.80/x
  3. Step 3: Cross multiply
    105,819.20x = 158,728.80 × 101,736.80
  4. Step 4: Simplify right side
    105,819.20x = 16,148,560,179.84
  5. Step 5: Solve for x
    x = 16,148,560,179.84/105,819.20
  6. Step 6: Final answer
    x = 152,605.20

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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.