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Finding the Fourth Proportional to 262,761, 362,611.64 and 143,529

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Solution

The fourth proportional to 262,761, 362,611.64 and 143,529 is: 198,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,761 : 362,611.64 = 143,529 : x
  2. Step 2: Convert to fraction form
    262,761/362,611.64 = 143,529/x
  3. Step 3: Cross multiply
    262,761x = 362,611.64 × 143,529
  4. Step 4: Simplify right side
    262,761x = 52,045,286,077.56
  5. Step 5: Solve for x
    x = 52,045,286,077.56/262,761
  6. Step 6: Final answer
    x = 198,070.82

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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.