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Finding the Fourth Proportional to 213,430.88, 294,672 and 136,982.96

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Solution

The fourth proportional to 213,430.88, 294,672 and 136,982.96 is: 189,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,430.88 : 294,672 = 136,982.96 : x
  2. Step 2: Convert to fraction form
    213,430.88/294,672 = 136,982.96/x
  3. Step 3: Cross multiply
    213,430.88x = 294,672 × 136,982.96
  4. Step 4: Simplify right side
    213,430.88x = 40,365,042,789.12
  5. Step 5: Solve for x
    x = 40,365,042,789.12/213,430.88
  6. Step 6: Final answer
    x = 189,124.66

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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.