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Finding the Fourth Proportional to 133,412.64, 200,118.96 and 53,486.88

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Solution

The fourth proportional to 133,412.64, 200,118.96 and 53,486.88 is: 80,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,412.64 : 200,118.96 = 53,486.88 : x
  2. Step 2: Convert to fraction form
    133,412.64/200,118.96 = 53,486.88/x
  3. Step 3: Cross multiply
    133,412.64x = 200,118.96 × 53,486.88
  4. Step 4: Simplify right side
    133,412.64x = 10,703,738,799.24
  5. Step 5: Solve for x
    x = 10,703,738,799.24/133,412.64
  6. Step 6: Final answer
    x = 80,230.32

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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.