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Finding the Fourth Proportional to 138,961.76, 191,768.08 and 78,533.60

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Solution

The fourth proportional to 138,961.76, 191,768.08 and 78,533.60 is: 108,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,961.76 : 191,768.08 = 78,533.60 : x
  2. Step 2: Convert to fraction form
    138,961.76/191,768.08 = 78,533.60/x
  3. Step 3: Cross multiply
    138,961.76x = 191,768.08 × 78,533.60
  4. Step 4: Simplify right side
    138,961.76x = 15,060,237,687.49
  5. Step 5: Solve for x
    x = 15,060,237,687.49/138,961.76
  6. Step 6: Final answer
    x = 108,376.85

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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.