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Finding the Fourth Proportional to 215,160, 322,791.84 and 67,416

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Solution

The fourth proportional to 215,160, 322,791.84 and 67,416 is: 101,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,160 : 322,791.84 = 67,416 : x
  2. Step 2: Convert to fraction form
    215,160/322,791.84 = 67,416/x
  3. Step 3: Cross multiply
    215,160x = 322,791.84 × 67,416
  4. Step 4: Simplify right side
    215,160x = 21,761,334,685.44
  5. Step 5: Solve for x
    x = 21,761,334,685.44/215,160
  6. Step 6: Final answer
    x = 101,140.24

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