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Finding the Fourth Proportional to 71,705.58, 107,550.78 and 19,120.38

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Solution

The fourth proportional to 71,705.58, 107,550.78 and 19,120.38 is: 28,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.58 : 107,550.78 = 19,120.38 : x
  2. Step 2: Convert to fraction form
    71,705.58/107,550.78 = 19,120.38/x
  3. Step 3: Cross multiply
    71,705.58x = 107,550.78 × 19,120.38
  4. Step 4: Simplify right side
    71,705.58x = 2,056,411,782.90
  5. Step 5: Solve for x
    x = 2,056,411,782.90/71,705.58
  6. Step 6: Final answer
    x = 28,678.55

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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.