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Finding the Fourth Proportional to 106,500.80, 159,751.20 and 105,809.60

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Solution

The fourth proportional to 106,500.80, 159,751.20 and 105,809.60 is: 158,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500.80 : 159,751.20 = 105,809.60 : x
  2. Step 2: Convert to fraction form
    106,500.80/159,751.20 = 105,809.60/x
  3. Step 3: Cross multiply
    106,500.80x = 159,751.20 × 105,809.60
  4. Step 4: Simplify right side
    106,500.80x = 16,903,210,571.52
  5. Step 5: Solve for x
    x = 16,903,210,571.52/106,500.80
  6. Step 6: Final answer
    x = 158,714.40

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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.