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Finding the Fourth Proportional to 84,042, 126,065.43 and 21,712.50

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Solution

The fourth proportional to 84,042, 126,065.43 and 21,712.50 is: 32,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,042 : 126,065.43 = 21,712.50 : x
  2. Step 2: Convert to fraction form
    84,042/126,065.43 = 21,712.50/x
  3. Step 3: Cross multiply
    84,042x = 126,065.43 × 21,712.50
  4. Step 4: Simplify right side
    84,042x = 2,737,195,648.88
  5. Step 5: Solve for x
    x = 2,737,195,648.88/84,042
  6. Step 6: Final answer
    x = 32,569.38

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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.