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Finding the Fourth Proportional to 165,882.36, 228,845.40 and 105,420.60

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Solution

The fourth proportional to 165,882.36, 228,845.40 and 105,420.60 is: 145,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,882.36 : 228,845.40 = 105,420.60 : x
  2. Step 2: Convert to fraction form
    165,882.36/228,845.40 = 105,420.60/x
  3. Step 3: Cross multiply
    165,882.36x = 228,845.40 × 105,420.60
  4. Step 4: Simplify right side
    165,882.36x = 24,125,019,375.24
  5. Step 5: Solve for x
    x = 24,125,019,375.24/165,882.36
  6. Step 6: Final answer
    x = 145,434.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.