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Finding the Fourth Proportional to 144,281.29, 199,107.75 and 80,619.14

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Solution

The fourth proportional to 144,281.29, 199,107.75 and 80,619.14 is: 111,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,281.29 : 199,107.75 = 80,619.14 : x
  2. Step 2: Convert to fraction form
    144,281.29/199,107.75 = 80,619.14/x
  3. Step 3: Cross multiply
    144,281.29x = 199,107.75 × 80,619.14
  4. Step 4: Simplify right side
    144,281.29x = 16,051,895,252.45
  5. Step 5: Solve for x
    x = 16,051,895,252.45/144,281.29
  6. Step 6: Final answer
    x = 111,254.17

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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.