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Finding the Fourth Proportional to 218,804.96, 328,223.52 and 78,564.80

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Solution

The fourth proportional to 218,804.96, 328,223.52 and 78,564.80 is: 117,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,804.96 : 328,223.52 = 78,564.80 : x
  2. Step 2: Convert to fraction form
    218,804.96/328,223.52 = 78,564.80/x
  3. Step 3: Cross multiply
    218,804.96x = 328,223.52 × 78,564.80
  4. Step 4: Simplify right side
    218,804.96x = 25,786,815,204.10
  5. Step 5: Solve for x
    x = 25,786,815,204.10/218,804.96
  6. Step 6: Final answer
    x = 117,852.97

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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.