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Finding the Fourth Proportional to 78,234.68, 107,982.70 and 45,976.42

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Solution

The fourth proportional to 78,234.68, 107,982.70 and 45,976.42 is: 63,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.68 : 107,982.70 = 45,976.42 : x
  2. Step 2: Convert to fraction form
    78,234.68/107,982.70 = 45,976.42/x
  3. Step 3: Cross multiply
    78,234.68x = 107,982.70 × 45,976.42
  4. Step 4: Simplify right side
    78,234.68x = 4,964,657,967.93
  5. Step 5: Solve for x
    x = 4,964,657,967.93/78,234.68
  6. Step 6: Final answer
    x = 63,458.53

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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.