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Finding the Fourth Proportional to 270,141.08, 405,228.90 and 103,929.08

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Solution

The fourth proportional to 270,141.08, 405,228.90 and 103,929.08 is: 155,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,141.08 : 405,228.90 = 103,929.08 : x
  2. Step 2: Convert to fraction form
    270,141.08/405,228.90 = 103,929.08/x
  3. Step 3: Cross multiply
    270,141.08x = 405,228.90 × 103,929.08
  4. Step 4: Simplify right side
    270,141.08x = 42,115,066,766.41
  5. Step 5: Solve for x
    x = 42,115,066,766.41/270,141.08
  6. Step 6: Final answer
    x = 155,900.27

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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.