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Finding the Fourth Proportional to 250,319.65, 345,449.93 and 137,142.49

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Solution

The fourth proportional to 250,319.65, 345,449.93 and 137,142.49 is: 189,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,319.65 : 345,449.93 = 137,142.49 : x
  2. Step 2: Convert to fraction form
    250,319.65/345,449.93 = 137,142.49/x
  3. Step 3: Cross multiply
    250,319.65x = 345,449.93 × 137,142.49
  4. Step 4: Simplify right side
    250,319.65x = 47,375,863,570.53
  5. Step 5: Solve for x
    x = 47,375,863,570.53/250,319.65
  6. Step 6: Final answer
    x = 189,261.46

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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.