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Finding the Fourth Proportional to 76,174.84, 105,321.96 and 66,716.32

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Solution

The fourth proportional to 76,174.84, 105,321.96 and 66,716.32 is: 92,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,174.84 : 105,321.96 = 66,716.32 : x
  2. Step 2: Convert to fraction form
    76,174.84/105,321.96 = 66,716.32/x
  3. Step 3: Cross multiply
    76,174.84x = 105,321.96 × 66,716.32
  4. Step 4: Simplify right side
    76,174.84x = 7,026,693,586.39
  5. Step 5: Solve for x
    x = 7,026,693,586.39/76,174.84
  6. Step 6: Final answer
    x = 92,244.28

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1.5x scale

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.