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Finding the Fourth Proportional to 228,104.64, 341,982.54 and 138,127.77

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Solution

The fourth proportional to 228,104.64, 341,982.54 and 138,127.77 is: 207,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,104.64 : 341,982.54 = 138,127.77 : x
  2. Step 2: Convert to fraction form
    228,104.64/341,982.54 = 138,127.77/x
  3. Step 3: Cross multiply
    228,104.64x = 341,982.54 × 138,127.77
  4. Step 4: Simplify right side
    228,104.64x = 47,237,285,629.14
  5. Step 5: Solve for x
    x = 47,237,285,629.14/228,104.64
  6. Step 6: Final answer
    x = 207,086.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.