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Finding the Fourth Proportional to 268,021.78, 370,043.14 and 166,156.12

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Solution

The fourth proportional to 268,021.78, 370,043.14 and 166,156.12 is: 229,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,021.78 : 370,043.14 = 166,156.12 : x
  2. Step 2: Convert to fraction form
    268,021.78/370,043.14 = 166,156.12/x
  3. Step 3: Cross multiply
    268,021.78x = 370,043.14 × 166,156.12
  4. Step 4: Simplify right side
    268,021.78x = 61,484,932,375.02
  5. Step 5: Solve for x
    x = 61,484,932,375.02/268,021.78
  6. Step 6: Final answer
    x = 229,402.75

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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.