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Finding the Fourth Proportional to 261,871.89, 361,373.04 and 160,067.81

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Solution

The fourth proportional to 261,871.89, 361,373.04 and 160,067.81 is: 220,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,871.89 : 361,373.04 = 160,067.81 : x
  2. Step 2: Convert to fraction form
    261,871.89/361,373.04 = 160,067.81/x
  3. Step 3: Cross multiply
    261,871.89x = 361,373.04 × 160,067.81
  4. Step 4: Simplify right side
    261,871.89x = 57,844,189,298.98
  5. Step 5: Solve for x
    x = 57,844,189,298.98/261,871.89
  6. Step 6: Final answer
    x = 220,887.36

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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.