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Finding the Fourth Proportional to 165,843.16, 228,896.23 and 115,513

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Solution

The fourth proportional to 165,843.16, 228,896.23 and 115,513 is: 159,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,843.16 : 228,896.23 = 115,513 : x
  2. Step 2: Convert to fraction form
    165,843.16/228,896.23 = 115,513/x
  3. Step 3: Cross multiply
    165,843.16x = 228,896.23 × 115,513
  4. Step 4: Simplify right side
    165,843.16x = 26,440,490,215.99
  5. Step 5: Solve for x
    x = 26,440,490,215.99/165,843.16
  6. Step 6: Final answer
    x = 159,430.69

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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.