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Finding the Fourth Proportional to 251,683.73, 347,323.43 and 138,506.48

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Solution

The fourth proportional to 251,683.73, 347,323.43 and 138,506.48 is: 191,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,683.73 : 347,323.43 = 138,506.48 : x
  2. Step 2: Convert to fraction form
    251,683.73/347,323.43 = 138,506.48/x
  3. Step 3: Cross multiply
    251,683.73x = 347,323.43 × 138,506.48
  4. Step 4: Simplify right side
    251,683.73x = 48,106,543,281.68
  5. Step 5: Solve for x
    x = 48,106,543,281.68/251,683.73
  6. Step 6: Final answer
    x = 191,138.87

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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.