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Finding the Fourth Proportional to 137,692.98, 190,015.56 and 77,263.56

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Solution

The fourth proportional to 137,692.98, 190,015.56 and 77,263.56 is: 106,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,692.98 : 190,015.56 = 77,263.56 : x
  2. Step 2: Convert to fraction form
    137,692.98/190,015.56 = 77,263.56/x
  3. Step 3: Cross multiply
    137,692.98x = 190,015.56 × 77,263.56
  4. Step 4: Simplify right side
    137,692.98x = 14,681,278,620.99
  5. Step 5: Solve for x
    x = 14,681,278,620.99/137,692.98
  6. Step 6: Final answer
    x = 106,623.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.