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Finding the Fourth Proportional to 165,896.78, 228,946.30 and 90,450.14

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Solution

The fourth proportional to 165,896.78, 228,946.30 and 90,450.14 is: 124,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,896.78 : 228,946.30 = 90,450.14 : x
  2. Step 2: Convert to fraction form
    165,896.78/228,946.30 = 90,450.14/x
  3. Step 3: Cross multiply
    165,896.78x = 228,946.30 × 90,450.14
  4. Step 4: Simplify right side
    165,896.78x = 20,708,223,516.63
  5. Step 5: Solve for x
    x = 20,708,223,516.63/165,896.78
  6. Step 6: Final answer
    x = 124,825.96

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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.