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Finding the Fourth Proportional to 218,917.98, 328,435.47 and 78,677.82

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Solution

The fourth proportional to 218,917.98, 328,435.47 and 78,677.82 is: 118,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,917.98 : 328,435.47 = 78,677.82 : x
  2. Step 2: Convert to fraction form
    218,917.98/328,435.47 = 78,677.82/x
  3. Step 3: Cross multiply
    218,917.98x = 328,435.47 × 78,677.82
  4. Step 4: Simplify right side
    218,917.98x = 25,840,586,790.28
  5. Step 5: Solve for x
    x = 25,840,586,790.28/218,917.98
  6. Step 6: Final answer
    x = 118,037.75

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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.