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Finding the Fourth Proportional to 218,692.44, 328,111.56 and 78,462

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Solution

The fourth proportional to 218,692.44, 328,111.56 and 78,462 is: 117,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,692.44 : 328,111.56 = 78,462 : x
  2. Step 2: Convert to fraction form
    218,692.44/328,111.56 = 78,462/x
  3. Step 3: Cross multiply
    218,692.44x = 328,111.56 × 78,462
  4. Step 4: Simplify right side
    218,692.44x = 25,744,289,220.72
  5. Step 5: Solve for x
    x = 25,744,289,220.72/218,692.44
  6. Step 6: Final answer
    x = 117,719.15

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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.