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Finding the Fourth Proportional to 266,196.42, 399,313.80 and 83,811.60

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Solution

The fourth proportional to 266,196.42, 399,313.80 and 83,811.60 is: 125,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,196.42 : 399,313.80 = 83,811.60 : x
  2. Step 2: Convert to fraction form
    266,196.42/399,313.80 = 83,811.60/x
  3. Step 3: Cross multiply
    266,196.42x = 399,313.80 × 83,811.60
  4. Step 4: Simplify right side
    266,196.42x = 33,467,128,480.08
  5. Step 5: Solve for x
    x = 33,467,128,480.08/266,196.42
  6. Step 6: Final answer
    x = 125,723.44

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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.