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Finding the Fourth Proportional to 77,363.10, 115,935.30 and 47,692.80

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Solution

The fourth proportional to 77,363.10, 115,935.30 and 47,692.80 is: 71,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,363.10 : 115,935.30 = 47,692.80 : x
  2. Step 2: Convert to fraction form
    77,363.10/115,935.30 = 47,692.80/x
  3. Step 3: Cross multiply
    77,363.10x = 115,935.30 × 47,692.80
  4. Step 4: Simplify right side
    77,363.10x = 5,529,279,075.84
  5. Step 5: Solve for x
    x = 5,529,279,075.84/77,363.10
  6. Step 6: Final answer
    x = 71,471.79

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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.