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Finding the Fourth Proportional to 45,129.84, 67,692.72 and 11,849.12

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Solution

The fourth proportional to 45,129.84, 67,692.72 and 11,849.12 is: 17,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,129.84 : 67,692.72 = 11,849.12 : x
  2. Step 2: Convert to fraction form
    45,129.84/67,692.72 = 11,849.12/x
  3. Step 3: Cross multiply
    45,129.84x = 67,692.72 × 11,849.12
  4. Step 4: Simplify right side
    45,129.84x = 802,099,162.41
  5. Step 5: Solve for x
    x = 802,099,162.41/45,129.84
  6. Step 6: Final answer
    x = 17,773.14

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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.