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Finding the Fourth Proportional to 251,541.78, 347,120.42 and 138,364.53

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Solution

The fourth proportional to 251,541.78, 347,120.42 and 138,364.53 is: 190,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,541.78 : 347,120.42 = 138,364.53 : x
  2. Step 2: Convert to fraction form
    251,541.78/347,120.42 = 138,364.53/x
  3. Step 3: Cross multiply
    251,541.78x = 347,120.42 × 138,364.53
  4. Step 4: Simplify right side
    251,541.78x = 48,029,153,074.88
  5. Step 5: Solve for x
    x = 48,029,153,074.88/251,541.78
  6. Step 6: Final answer
    x = 190,939.07

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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.