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Finding the Fourth Proportional to 251,752.44, 347,420.76 and 138,576

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Solution

The fourth proportional to 251,752.44, 347,420.76 and 138,576 is: 191,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,752.44 : 347,420.76 = 138,576 : x
  2. Step 2: Convert to fraction form
    251,752.44/347,420.76 = 138,576/x
  3. Step 3: Cross multiply
    251,752.44x = 347,420.76 × 138,576
  4. Step 4: Simplify right side
    251,752.44x = 48,144,179,237.76
  5. Step 5: Solve for x
    x = 48,144,179,237.76/251,752.44
  6. Step 6: Final answer
    x = 191,236.20

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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.