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Finding the Fourth Proportional to 270,122.34, 405,437.74 and 137,098.06

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Solution

The fourth proportional to 270,122.34, 405,437.74 and 137,098.06 is: 205,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,122.34 : 405,437.74 = 137,098.06 : x
  2. Step 2: Convert to fraction form
    270,122.34/405,437.74 = 137,098.06/x
  3. Step 3: Cross multiply
    270,122.34x = 405,437.74 × 137,098.06
  4. Step 4: Simplify right side
    270,122.34x = 55,584,727,604.78
  5. Step 5: Solve for x
    x = 55,584,727,604.78/270,122.34
  6. Step 6: Final answer
    x = 205,776.12

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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.