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Finding the Fourth Proportional to 261,559.02, 360,977.13 and 154,163.82

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Solution

The fourth proportional to 261,559.02, 360,977.13 and 154,163.82 is: 212,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,559.02 : 360,977.13 = 154,163.82 : x
  2. Step 2: Convert to fraction form
    261,559.02/360,977.13 = 154,163.82/x
  3. Step 3: Cross multiply
    261,559.02x = 360,977.13 × 154,163.82
  4. Step 4: Simplify right side
    261,559.02x = 55,649,613,293.44
  5. Step 5: Solve for x
    x = 55,649,613,293.44/261,559.02
  6. Step 6: Final answer
    x = 212,761.21

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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.