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Finding the Fourth Proportional to 104,706, 157,109.40 and 52,120.08

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Solution

The fourth proportional to 104,706, 157,109.40 and 52,120.08 is: 78,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,706 : 157,109.40 = 52,120.08 : x
  2. Step 2: Convert to fraction form
    104,706/157,109.40 = 52,120.08/x
  3. Step 3: Cross multiply
    104,706x = 157,109.40 × 52,120.08
  4. Step 4: Simplify right side
    104,706x = 8,188,554,496.75
  5. Step 5: Solve for x
    x = 8,188,554,496.75/104,706
  6. Step 6: Final answer
    x = 78,205.21

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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.