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Finding the Fourth Proportional to 84,283.62, 126,351.15 and 34,405.62

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Solution

The fourth proportional to 84,283.62, 126,351.15 and 34,405.62 is: 51,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,283.62 : 126,351.15 = 34,405.62 : x
  2. Step 2: Convert to fraction form
    84,283.62/126,351.15 = 34,405.62/x
  3. Step 3: Cross multiply
    84,283.62x = 126,351.15 × 34,405.62
  4. Step 4: Simplify right side
    84,283.62x = 4,347,189,653.46
  5. Step 5: Solve for x
    x = 4,347,189,653.46/84,283.62
  6. Step 6: Final answer
    x = 51,578.11

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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.