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Finding the Fourth Proportional to 250,290.64, 345,405 and 137,105.92

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Solution

The fourth proportional to 250,290.64, 345,405 and 137,105.92 is: 189,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,290.64 : 345,405 = 137,105.92 : x
  2. Step 2: Convert to fraction form
    250,290.64/345,405 = 137,105.92/x
  3. Step 3: Cross multiply
    250,290.64x = 345,405 × 137,105.92
  4. Step 4: Simplify right side
    250,290.64x = 47,357,070,297.60
  5. Step 5: Solve for x
    x = 47,357,070,297.60/250,290.64
  6. Step 6: Final answer
    x = 189,208.32

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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.