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Finding the Fourth Proportional to 165,705.84, 228,601.32 and 111,971.28

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Solution

The fourth proportional to 165,705.84, 228,601.32 and 111,971.28 is: 154,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,705.84 : 228,601.32 = 111,971.28 : x
  2. Step 2: Convert to fraction form
    165,705.84/228,601.32 = 111,971.28/x
  3. Step 3: Cross multiply
    165,705.84x = 228,601.32 × 111,971.28
  4. Step 4: Simplify right side
    165,705.84x = 25,596,782,410.09
  5. Step 5: Solve for x
    x = 25,596,782,410.09/165,705.84
  6. Step 6: Final answer
    x = 154,471.21

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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.