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Finding the Fourth Proportional to 251,533.76, 347,137.60 and 138,377.28

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Solution

The fourth proportional to 251,533.76, 347,137.60 and 138,377.28 is: 190,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,533.76 : 347,137.60 = 138,377.28 : x
  2. Step 2: Convert to fraction form
    251,533.76/347,137.60 = 138,377.28/x
  3. Step 3: Cross multiply
    251,533.76x = 347,137.60 × 138,377.28
  4. Step 4: Simplify right side
    251,533.76x = 48,035,956,873.73
  5. Step 5: Solve for x
    x = 48,035,956,873.73/251,533.76
  6. Step 6: Final answer
    x = 190,972.21

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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.