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Finding the Fourth Proportional to 68,129.28, 102,035.37 and 65,764.59

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Solution

The fourth proportional to 68,129.28, 102,035.37 and 65,764.59 is: 98,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,129.28 : 102,035.37 = 65,764.59 : x
  2. Step 2: Convert to fraction form
    68,129.28/102,035.37 = 65,764.59/x
  3. Step 3: Cross multiply
    68,129.28x = 102,035.37 × 65,764.59
  4. Step 4: Simplify right side
    68,129.28x = 6,710,314,273.55
  5. Step 5: Solve for x
    x = 6,710,314,273.55/68,129.28
  6. Step 6: Final answer
    x = 98,493.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.