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Finding the Fourth Proportional to 144,293.25, 216,433.72 and 140,914.33

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Solution

The fourth proportional to 144,293.25, 216,433.72 and 140,914.33 is: 211,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,293.25 : 216,433.72 = 140,914.33 : x
  2. Step 2: Convert to fraction form
    144,293.25/216,433.72 = 140,914.33/x
  3. Step 3: Cross multiply
    144,293.25x = 216,433.72 × 140,914.33
  4. Step 4: Simplify right side
    144,293.25x = 30,498,612,643.21
  5. Step 5: Solve for x
    x = 30,498,612,643.21/144,293.25
  6. Step 6: Final answer
    x = 211,365.48

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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.