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Finding the Fourth Proportional to 144,459.11, 199,364.01 and 80,817.41

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Solution

The fourth proportional to 144,459.11, 199,364.01 and 80,817.41 is: 111,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,459.11 : 199,364.01 = 80,817.41 : x
  2. Step 2: Convert to fraction form
    144,459.11/199,364.01 = 80,817.41/x
  3. Step 3: Cross multiply
    144,459.11x = 199,364.01 × 80,817.41
  4. Step 4: Simplify right side
    144,459.11x = 16,112,082,935.41
  5. Step 5: Solve for x
    x = 16,112,082,935.41/144,459.11
  6. Step 6: Final answer
    x = 111,533.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.