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Finding the Fourth Proportional to 208,763.45, 313,141.51 and 144,662.48

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Solution

The fourth proportional to 208,763.45, 313,141.51 and 144,662.48 is: 216,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,763.45 : 313,141.51 = 144,662.48 : x
  2. Step 2: Convert to fraction form
    208,763.45/313,141.51 = 144,662.48/x
  3. Step 3: Cross multiply
    208,763.45x = 313,141.51 × 144,662.48
  4. Step 4: Simplify right side
    208,763.45x = 45,299,827,427.54
  5. Step 5: Solve for x
    x = 45,299,827,427.54/208,763.45
  6. Step 6: Final answer
    x = 216,991.18

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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.