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Finding the Fourth Proportional to 136,692.21, 205,107.47 and 92,225.51

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Solution

The fourth proportional to 136,692.21, 205,107.47 and 92,225.51 is: 138,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,692.21 : 205,107.47 = 92,225.51 : x
  2. Step 2: Convert to fraction form
    136,692.21/205,107.47 = 92,225.51/x
  3. Step 3: Cross multiply
    136,692.21x = 205,107.47 × 92,225.51
  4. Step 4: Simplify right side
    136,692.21x = 18,916,141,025.56
  5. Step 5: Solve for x
    x = 18,916,141,025.56/136,692.21
  6. Step 6: Final answer
    x = 138,384.92

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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.