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Finding the Fourth Proportional to 258,075.60, 387,113.22 and 80,597.82

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Solution

The fourth proportional to 258,075.60, 387,113.22 and 80,597.82 is: 120,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,075.60 : 387,113.22 = 80,597.82 : x
  2. Step 2: Convert to fraction form
    258,075.60/387,113.22 = 80,597.82/x
  3. Step 3: Cross multiply
    258,075.60x = 387,113.22 × 80,597.82
  4. Step 4: Simplify right side
    258,075.60x = 31,200,481,625.18
  5. Step 5: Solve for x
    x = 31,200,481,625.18/258,075.60
  6. Step 6: Final answer
    x = 120,896.67

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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.