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Finding the Fourth Proportional to 270,142.08, 405,230.40 and 103,930.08

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Solution

The fourth proportional to 270,142.08, 405,230.40 and 103,930.08 is: 155,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,142.08 : 405,230.40 = 103,930.08 : x
  2. Step 2: Convert to fraction form
    270,142.08/405,230.40 = 103,930.08/x
  3. Step 3: Cross multiply
    270,142.08x = 405,230.40 × 103,930.08
  4. Step 4: Simplify right side
    270,142.08x = 42,115,627,890.43
  5. Step 5: Solve for x
    x = 42,115,627,890.43/270,142.08
  6. Step 6: Final answer
    x = 155,901.77

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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.