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Finding the Fourth Proportional to 144,580.34, 199,520.84 and 80,918.14

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Solution

The fourth proportional to 144,580.34, 199,520.84 and 80,918.14 is: 111,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,580.34 : 199,520.84 = 80,918.14 : x
  2. Step 2: Convert to fraction form
    144,580.34/199,520.84 = 80,918.14/x
  3. Step 3: Cross multiply
    144,580.34x = 199,520.84 × 80,918.14
  4. Step 4: Simplify right side
    144,580.34x = 16,144,855,264.04
  5. Step 5: Solve for x
    x = 16,144,855,264.04/144,580.34
  6. Step 6: Final answer
    x = 111,667.02

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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.