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Finding the Fourth Proportional to 270,195.18, 405,298.36 and 83,206.50

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Solution

The fourth proportional to 270,195.18, 405,298.36 and 83,206.50 is: 124,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,195.18 : 405,298.36 = 83,206.50 : x
  2. Step 2: Convert to fraction form
    270,195.18/405,298.36 = 83,206.50/x
  3. Step 3: Cross multiply
    270,195.18x = 405,298.36 × 83,206.50
  4. Step 4: Simplify right side
    270,195.18x = 33,723,457,991.34
  5. Step 5: Solve for x
    x = 33,723,457,991.34/270,195.18
  6. Step 6: Final answer
    x = 124,811.47

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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.