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Finding the Fourth Proportional to 128,042.52, 191,968.67 and 61,419.21

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Solution

The fourth proportional to 128,042.52, 191,968.67 and 61,419.21 is: 92,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,042.52 : 191,968.67 = 61,419.21 : x
  2. Step 2: Convert to fraction form
    128,042.52/191,968.67 = 61,419.21/x
  3. Step 3: Cross multiply
    128,042.52x = 191,968.67 × 61,419.21
  4. Step 4: Simplify right side
    128,042.52x = 11,790,563,749.05
  5. Step 5: Solve for x
    x = 11,790,563,749.05/128,042.52
  6. Step 6: Final answer
    x = 92,083.19

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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.