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Finding the Fourth Proportional to 218,902.60, 328,435.92 and 76,758.58

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Solution

The fourth proportional to 218,902.60, 328,435.92 and 76,758.58 is: 115,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,902.60 : 328,435.92 = 76,758.58 : x
  2. Step 2: Convert to fraction form
    218,902.60/328,435.92 = 76,758.58/x
  3. Step 3: Cross multiply
    218,902.60x = 328,435.92 × 76,758.58
  4. Step 4: Simplify right side
    218,902.60x = 25,210,274,840.19
  5. Step 5: Solve for x
    x = 25,210,274,840.19/218,902.60
  6. Step 6: Final answer
    x = 115,166.63

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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.