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Finding the Fourth Proportional to 81,426, 122,129.28 and 34,692.24

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Solution

The fourth proportional to 81,426, 122,129.28 and 34,692.24 is: 52,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,426 : 122,129.28 = 34,692.24 : x
  2. Step 2: Convert to fraction form
    81,426/122,129.28 = 34,692.24/x
  3. Step 3: Cross multiply
    81,426x = 122,129.28 × 34,692.24
  4. Step 4: Simplify right side
    81,426x = 4,236,938,292.79
  5. Step 5: Solve for x
    x = 4,236,938,292.79/81,426
  6. Step 6: Final answer
    x = 52,034.22

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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.