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Finding the Fourth Proportional to 133,043.80, 199,296.90 and 82,970.20

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Solution

The fourth proportional to 133,043.80, 199,296.90 and 82,970.20 is: 124,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043.80 : 199,296.90 = 82,970.20 : x
  2. Step 2: Convert to fraction form
    133,043.80/199,296.90 = 82,970.20/x
  3. Step 3: Cross multiply
    133,043.80x = 199,296.90 × 82,970.20
  4. Step 4: Simplify right side
    133,043.80x = 16,535,703,652.38
  5. Step 5: Solve for x
    x = 16,535,703,652.38/133,043.80
  6. Step 6: Final answer
    x = 124,287.67

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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.