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Finding the Fourth Proportional to 250,724.19, 345,978.63 and 137,546.94

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Solution

The fourth proportional to 250,724.19, 345,978.63 and 137,546.94 is: 189,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,724.19 : 345,978.63 = 137,546.94 : x
  2. Step 2: Convert to fraction form
    250,724.19/345,978.63 = 137,546.94/x
  3. Step 3: Cross multiply
    250,724.19x = 345,978.63 × 137,546.94
  4. Step 4: Simplify right side
    250,724.19x = 47,588,301,861.89
  5. Step 5: Solve for x
    x = 47,588,301,861.89/250,724.19
  6. Step 6: Final answer
    x = 189,803.39

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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.