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Finding the Fourth Proportional to 270,117.15, 405,429.97 and 137,092.88

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Solution

The fourth proportional to 270,117.15, 405,429.97 and 137,092.88 is: 205,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,117.15 : 405,429.97 = 137,092.88 : x
  2. Step 2: Convert to fraction form
    270,117.15/405,429.97 = 137,092.88/x
  3. Step 3: Cross multiply
    270,117.15x = 405,429.97 × 137,092.88
  4. Step 4: Simplify right side
    270,117.15x = 55,581,562,225.61
  5. Step 5: Solve for x
    x = 55,581,562,225.61/270,117.15
  6. Step 6: Final answer
    x = 205,768.36

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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.