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Finding the Fourth Proportional to 266,137.83, 367,271.10 and 145,281.78

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Solution

The fourth proportional to 266,137.83, 367,271.10 and 145,281.78 is: 200,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,137.83 : 367,271.10 = 145,281.78 : x
  2. Step 2: Convert to fraction form
    266,137.83/367,271.10 = 145,281.78/x
  3. Step 3: Cross multiply
    266,137.83x = 367,271.10 × 145,281.78
  4. Step 4: Simplify right side
    266,137.83x = 53,357,799,150.56
  5. Step 5: Solve for x
    x = 53,357,799,150.56/266,137.83
  6. Step 6: Final answer
    x = 200,489.34

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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.