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Finding the Fourth Proportional to 178,434.88, 267,676.80 and 103,590.16

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Solution

The fourth proportional to 178,434.88, 267,676.80 and 103,590.16 is: 155,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434.88 : 267,676.80 = 103,590.16 : x
  2. Step 2: Convert to fraction form
    178,434.88/267,676.80 = 103,590.16/x
  3. Step 3: Cross multiply
    178,434.88x = 267,676.80 × 103,590.16
  4. Step 4: Simplify right side
    178,434.88x = 27,728,682,540.29
  5. Step 5: Solve for x
    x = 27,728,682,540.29/178,434.88
  6. Step 6: Final answer
    x = 155,399.45

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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.