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Finding the Fourth Proportional to 178,406.64, 267,620.04 and 78,613.44

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Solution

The fourth proportional to 178,406.64, 267,620.04 and 78,613.44 is: 117,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,406.64 : 267,620.04 = 78,613.44 : x
  2. Step 2: Convert to fraction form
    178,406.64/267,620.04 = 78,613.44/x
  3. Step 3: Cross multiply
    178,406.64x = 267,620.04 × 78,613.44
  4. Step 4: Simplify right side
    178,406.64x = 21,038,531,957.34
  5. Step 5: Solve for x
    x = 21,038,531,957.34/178,406.64
  6. Step 6: Final answer
    x = 117,924.60

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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.