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Finding the Fourth Proportional to 270,158.76, 405,238.14 and 103,907.88

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Solution

The fourth proportional to 270,158.76, 405,238.14 and 103,907.88 is: 155,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,158.76 : 405,238.14 = 103,907.88 : x
  2. Step 2: Convert to fraction form
    270,158.76/405,238.14 = 103,907.88/x
  3. Step 3: Cross multiply
    270,158.76x = 405,238.14 × 103,907.88
  4. Step 4: Simplify right side
    270,158.76x = 42,107,433,476.81
  5. Step 5: Solve for x
    x = 42,107,433,476.81/270,158.76
  6. Step 6: Final answer
    x = 155,861.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.