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Finding the Fourth Proportional to 127,431.78, 191,143.30 and 32,662.89

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Solution

The fourth proportional to 127,431.78, 191,143.30 and 32,662.89 is: 48,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,431.78 : 191,143.30 = 32,662.89 : x
  2. Step 2: Convert to fraction form
    127,431.78/191,143.30 = 32,662.89/x
  3. Step 3: Cross multiply
    127,431.78x = 191,143.30 × 32,662.89
  4. Step 4: Simplify right side
    127,431.78x = 6,243,292,582.14
  5. Step 5: Solve for x
    x = 6,243,292,582.14/127,431.78
  6. Step 6: Final answer
    x = 48,993.21

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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.