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Finding the Fourth Proportional to 149,327.36, 206,076 and 85,676.48

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Solution

The fourth proportional to 149,327.36, 206,076 and 85,676.48 is: 118,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,327.36 : 206,076 = 85,676.48 : x
  2. Step 2: Convert to fraction form
    149,327.36/206,076 = 85,676.48/x
  3. Step 3: Cross multiply
    149,327.36x = 206,076 × 85,676.48
  4. Step 4: Simplify right side
    149,327.36x = 17,655,866,292.48
  5. Step 5: Solve for x
    x = 17,655,866,292.48/149,327.36
  6. Step 6: Final answer
    x = 118,235.98

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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.