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Finding the Fourth Proportional to 259,543.76, 389,313.30 and 82,050.83

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Solution

The fourth proportional to 259,543.76, 389,313.30 and 82,050.83 is: 123,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,543.76 : 389,313.30 = 82,050.83 : x
  2. Step 2: Convert to fraction form
    259,543.76/389,313.30 = 82,050.83/x
  3. Step 3: Cross multiply
    259,543.76x = 389,313.30 × 82,050.83
  4. Step 4: Simplify right side
    259,543.76x = 31,943,477,448.47
  5. Step 5: Solve for x
    x = 31,943,477,448.47/259,543.76
  6. Step 6: Final answer
    x = 123,075.50

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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.