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Finding the Fourth Proportional to 165,356, 248,034 and 40,697

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Solution

The fourth proportional to 165,356, 248,034 and 40,697 is: 61,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,356 : 248,034 = 40,697 : x
  2. Step 2: Convert to fraction form
    165,356/248,034 = 40,697/x
  3. Step 3: Cross multiply
    165,356x = 248,034 × 40,697
  4. Step 4: Simplify right side
    165,356x = 10,094,239,698
  5. Step 5: Solve for x
    x = 10,094,239,698/165,356
  6. Step 6: Final answer
    x = 61,045.50

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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.