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Finding the Fourth Proportional to 266,340, 367,549.20 and 147,115.68

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Solution

The fourth proportional to 266,340, 367,549.20 and 147,115.68 is: 203,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,340 : 367,549.20 = 147,115.68 : x
  2. Step 2: Convert to fraction form
    266,340/367,549.20 = 147,115.68/x
  3. Step 3: Cross multiply
    266,340x = 367,549.20 × 147,115.68
  4. Step 4: Simplify right side
    266,340x = 54,072,250,491.46
  5. Step 5: Solve for x
    x = 54,072,250,491.46/266,340
  6. Step 6: Final answer
    x = 203,019.64

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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.