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Finding the Fourth Proportional to 250,710.56, 345,974.64 and 137,532.32

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Solution

The fourth proportional to 250,710.56, 345,974.64 and 137,532.32 is: 189,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,710.56 : 345,974.64 = 137,532.32 : x
  2. Step 2: Convert to fraction form
    250,710.56/345,974.64 = 137,532.32/x
  3. Step 3: Cross multiply
    250,710.56x = 345,974.64 × 137,532.32
  4. Step 4: Simplify right side
    250,710.56x = 47,582,694,900.36
  5. Step 5: Solve for x
    x = 47,582,694,900.36/250,710.56
  6. Step 6: Final answer
    x = 189,791.35

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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.