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Finding the Fourth Proportional to 165,783.70, 248,675.55 and 143,233.30

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Solution

The fourth proportional to 165,783.70, 248,675.55 and 143,233.30 is: 214,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,783.70 : 248,675.55 = 143,233.30 : x
  2. Step 2: Convert to fraction form
    165,783.70/248,675.55 = 143,233.30/x
  3. Step 3: Cross multiply
    165,783.70x = 248,675.55 × 143,233.30
  4. Step 4: Simplify right side
    165,783.70x = 35,618,619,655.82
  5. Step 5: Solve for x
    x = 35,618,619,655.82/165,783.70
  6. Step 6: Final answer
    x = 214,849.95

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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.