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Finding the Fourth Proportional to 165,802.94, 228,844.96 and 105,361.78

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Solution

The fourth proportional to 165,802.94, 228,844.96 and 105,361.78 is: 145,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,802.94 : 228,844.96 = 105,361.78 : x
  2. Step 2: Convert to fraction form
    165,802.94/228,844.96 = 105,361.78/x
  3. Step 3: Cross multiply
    165,802.94x = 228,844.96 × 105,361.78
  4. Step 4: Simplify right side
    165,802.94x = 24,111,512,329.63
  5. Step 5: Solve for x
    x = 24,111,512,329.63/165,802.94
  6. Step 6: Final answer
    x = 145,422.71

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1.5x scale

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.