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Finding the Fourth Proportional to 78,188.84, 107,900.74 and 45,917.24

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Solution

The fourth proportional to 78,188.84, 107,900.74 and 45,917.24 is: 63,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188.84 : 107,900.74 = 45,917.24 : x
  2. Step 2: Convert to fraction form
    78,188.84/107,900.74 = 45,917.24/x
  3. Step 3: Cross multiply
    78,188.84x = 107,900.74 × 45,917.24
  4. Step 4: Simplify right side
    78,188.84x = 4,954,504,174.76
  5. Step 5: Solve for x
    x = 4,954,504,174.76/78,188.84
  6. Step 6: Final answer
    x = 63,365.87

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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.