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Finding the Fourth Proportional to 165,362.78, 248,044.14 and 40,703.78

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Solution

The fourth proportional to 165,362.78, 248,044.14 and 40,703.78 is: 61,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,362.78 : 248,044.14 = 40,703.78 : x
  2. Step 2: Convert to fraction form
    165,362.78/248,044.14 = 40,703.78/x
  3. Step 3: Cross multiply
    165,362.78x = 248,044.14 × 40,703.78
  4. Step 4: Simplify right side
    165,362.78x = 10,096,334,104.85
  5. Step 5: Solve for x
    x = 10,096,334,104.85/165,362.78
  6. Step 6: Final answer
    x = 61,055.66

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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.