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Finding the Fourth Proportional to 218,847.96, 328,288.02 and 78,607.80

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Solution

The fourth proportional to 218,847.96, 328,288.02 and 78,607.80 is: 117,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,847.96 : 328,288.02 = 78,607.80 : x
  2. Step 2: Convert to fraction form
    218,847.96/328,288.02 = 78,607.80/x
  3. Step 3: Cross multiply
    218,847.96x = 328,288.02 × 78,607.80
  4. Step 4: Simplify right side
    218,847.96x = 25,805,999,018.56
  5. Step 5: Solve for x
    x = 25,805,999,018.56/218,847.96
  6. Step 6: Final answer
    x = 117,917.48

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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.