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Finding the Fourth Proportional to 84,684, 126,915.27 and 34,705.59

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Solution

The fourth proportional to 84,684, 126,915.27 and 34,705.59 is: 52,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684 : 126,915.27 = 34,705.59 : x
  2. Step 2: Convert to fraction form
    84,684/126,915.27 = 34,705.59/x
  3. Step 3: Cross multiply
    84,684x = 126,915.27 × 34,705.59
  4. Step 4: Simplify right side
    84,684x = 4,404,669,325.36
  5. Step 5: Solve for x
    x = 4,404,669,325.36/84,684
  6. Step 6: Final answer
    x = 52,013.01

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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.