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Finding the Fourth Proportional to 266,031.81, 367,131.69 and 145,180.86

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Solution

The fourth proportional to 266,031.81, 367,131.69 and 145,180.86 is: 200,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,031.81 : 367,131.69 = 145,180.86 : x
  2. Step 2: Convert to fraction form
    266,031.81/367,131.69 = 145,180.86/x
  3. Step 3: Cross multiply
    266,031.81x = 367,131.69 × 145,180.86
  4. Step 4: Simplify right side
    266,031.81x = 53,300,495,433.97
  5. Step 5: Solve for x
    x = 53,300,495,433.97/266,031.81
  6. Step 6: Final answer
    x = 200,353.85

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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.