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Finding the Fourth Proportional to 78,186, 107,896.62 and 42,375.99

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Solution

The fourth proportional to 78,186, 107,896.62 and 42,375.99 is: 58,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,186 : 107,896.62 = 42,375.99 : x
  2. Step 2: Convert to fraction form
    78,186/107,896.62 = 42,375.99/x
  3. Step 3: Cross multiply
    78,186x = 107,896.62 × 42,375.99
  4. Step 4: Simplify right side
    78,186x = 4,572,226,090.15
  5. Step 5: Solve for x
    x = 4,572,226,090.15/78,186
  6. Step 6: Final answer
    x = 58,478.83

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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.