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Finding the Fourth Proportional to 165,349, 248,023.50 and 40,690

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Solution

The fourth proportional to 165,349, 248,023.50 and 40,690 is: 61,035

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,349 : 248,023.50 = 40,690 : x
  2. Step 2: Convert to fraction form
    165,349/248,023.50 = 40,690/x
  3. Step 3: Cross multiply
    165,349x = 248,023.50 × 40,690
  4. Step 4: Simplify right side
    165,349x = 10,092,076,215
  5. Step 5: Solve for x
    x = 10,092,076,215/165,349
  6. Step 6: Final answer
    x = 61,035

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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.