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Finding the Fourth Proportional to 250,255.71, 375,438.94 and 137,878.07

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Solution

The fourth proportional to 250,255.71, 375,438.94 and 137,878.07 is: 206,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,255.71 : 375,438.94 = 137,878.07 : x
  2. Step 2: Convert to fraction form
    250,255.71/375,438.94 = 137,878.07/x
  3. Step 3: Cross multiply
    250,255.71x = 375,438.94 × 137,878.07
  4. Step 4: Simplify right side
    250,255.71x = 51,764,794,228.16
  5. Step 5: Solve for x
    x = 51,764,794,228.16/250,255.71
  6. Step 6: Final answer
    x = 206,847.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.