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Finding the Fourth Proportional to 127,692.32, 191,474.40 and 74,401.52

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Solution

The fourth proportional to 127,692.32, 191,474.40 and 74,401.52 is: 111,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,692.32 : 191,474.40 = 74,401.52 : x
  2. Step 2: Convert to fraction form
    127,692.32/191,474.40 = 74,401.52/x
  3. Step 3: Cross multiply
    127,692.32x = 191,474.40 × 74,401.52
  4. Step 4: Simplify right side
    127,692.32x = 14,245,986,401.09
  5. Step 5: Solve for x
    x = 14,245,986,401.09/127,692.32
  6. Step 6: Final answer
    x = 111,564.94

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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.