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Finding the Fourth Proportional to 71,784.32, 107,667.84 and 19,192.64

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Solution

The fourth proportional to 71,784.32, 107,667.84 and 19,192.64 is: 28,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.32 : 107,667.84 = 19,192.64 : x
  2. Step 2: Convert to fraction form
    71,784.32/107,667.84 = 19,192.64/x
  3. Step 3: Cross multiply
    71,784.32x = 107,667.84 × 19,192.64
  4. Step 4: Simplify right side
    71,784.32x = 2,066,430,092.70
  5. Step 5: Solve for x
    x = 2,066,430,092.70/71,784.32
  6. Step 6: Final answer
    x = 28,786.65

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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.