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Finding the Fourth Proportional to 250,713.06, 345,978.09 and 137,534.82

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Solution

The fourth proportional to 250,713.06, 345,978.09 and 137,534.82 is: 189,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,713.06 : 345,978.09 = 137,534.82 : x
  2. Step 2: Convert to fraction form
    250,713.06/345,978.09 = 137,534.82/x
  3. Step 3: Cross multiply
    250,713.06x = 345,978.09 × 137,534.82
  4. Step 4: Simplify right side
    250,713.06x = 47,584,034,332.09
  5. Step 5: Solve for x
    x = 47,584,034,332.09/250,713.06
  6. Step 6: Final answer
    x = 189,794.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.