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Finding the Fourth Proportional to 218,503.62, 327,483.18 and 78,107.94

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Solution

The fourth proportional to 218,503.62, 327,483.18 and 78,107.94 is: 117,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,503.62 : 327,483.18 = 78,107.94 : x
  2. Step 2: Convert to fraction form
    218,503.62/327,483.18 = 78,107.94/x
  3. Step 3: Cross multiply
    218,503.62x = 327,483.18 × 78,107.94
  4. Step 4: Simplify right side
    218,503.62x = 25,579,036,574.45
  5. Step 5: Solve for x
    x = 25,579,036,574.45/218,503.62
  6. Step 6: Final answer
    x = 117,064.59

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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.