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Finding the Fourth Proportional to 78,168.64, 117,251.84 and 19,004.16

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Solution

The fourth proportional to 78,168.64, 117,251.84 and 19,004.16 is: 28,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,168.64 : 117,251.84 = 19,004.16 : x
  2. Step 2: Convert to fraction form
    78,168.64/117,251.84 = 19,004.16/x
  3. Step 3: Cross multiply
    78,168.64x = 117,251.84 × 19,004.16
  4. Step 4: Simplify right side
    78,168.64x = 2,228,272,727.65
  5. Step 5: Solve for x
    x = 2,228,272,727.65/78,168.64
  6. Step 6: Final answer
    x = 28,505.97

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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.