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Finding the Fourth Proportional to 100,562.70, 138,736.85 and 64,773.46

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Solution

The fourth proportional to 100,562.70, 138,736.85 and 64,773.46 is: 89,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,562.70 : 138,736.85 = 64,773.46 : x
  2. Step 2: Convert to fraction form
    100,562.70/138,736.85 = 64,773.46/x
  3. Step 3: Cross multiply
    100,562.70x = 138,736.85 × 64,773.46
  4. Step 4: Simplify right side
    100,562.70x = 8,986,465,804.00
  5. Step 5: Solve for x
    x = 8,986,465,804.00/100,562.70
  6. Step 6: Final answer
    x = 89,361.82

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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.