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Finding the Fourth Proportional to 165,726, 228,693.68 and 101,120.70

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Solution

The fourth proportional to 165,726, 228,693.68 and 101,120.70 is: 139,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,726 : 228,693.68 = 101,120.70 : x
  2. Step 2: Convert to fraction form
    165,726/228,693.68 = 101,120.70/x
  3. Step 3: Cross multiply
    165,726x = 228,693.68 × 101,120.70
  4. Step 4: Simplify right side
    165,726x = 23,125,665,738.38
  5. Step 5: Solve for x
    x = 23,125,665,738.38/165,726
  6. Step 6: Final answer
    x = 139,541.57

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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.