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Finding the Fourth Proportional to 78,374.65, 108,174.24 and 51,519.64

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Solution

The fourth proportional to 78,374.65, 108,174.24 and 51,519.64 is: 71,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.65 : 108,174.24 = 51,519.64 : x
  2. Step 2: Convert to fraction form
    78,374.65/108,174.24 = 51,519.64/x
  3. Step 3: Cross multiply
    78,374.65x = 108,174.24 × 51,519.64
  4. Step 4: Simplify right side
    78,374.65x = 5,573,097,902.07
  5. Step 5: Solve for x
    x = 5,573,097,902.07/78,374.65
  6. Step 6: Final answer
    x = 71,108.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.