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Finding the Fourth Proportional to 178,245.94, 267,368.78 and 71,629.91

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Solution

The fourth proportional to 178,245.94, 267,368.78 and 71,629.91 is: 107,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,245.94 : 267,368.78 = 71,629.91 : x
  2. Step 2: Convert to fraction form
    178,245.94/267,368.78 = 71,629.91/x
  3. Step 3: Cross multiply
    178,245.94x = 267,368.78 × 71,629.91
  4. Step 4: Simplify right side
    178,245.94x = 19,151,601,648.21
  5. Step 5: Solve for x
    x = 19,151,601,648.21/178,245.94
  6. Step 6: Final answer
    x = 107,444.81

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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.