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Finding the Fourth Proportional to 270,007.48, 405,054.42 and 136,833.76

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Solution

The fourth proportional to 270,007.48, 405,054.42 and 136,833.76 is: 205,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,007.48 : 405,054.42 = 136,833.76 : x
  2. Step 2: Convert to fraction form
    270,007.48/405,054.42 = 136,833.76/x
  3. Step 3: Cross multiply
    270,007.48x = 405,054.42 × 136,833.76
  4. Step 4: Simplify right side
    270,007.48x = 55,425,119,293.22
  5. Step 5: Solve for x
    x = 55,425,119,293.22/270,007.48
  6. Step 6: Final answer
    x = 205,272.53

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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.