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Finding the Fourth Proportional to 120,676.10, 166,534.16 and 66,966.10

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Solution

The fourth proportional to 120,676.10, 166,534.16 and 66,966.10 is: 92,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,676.10 : 166,534.16 = 66,966.10 : x
  2. Step 2: Convert to fraction form
    120,676.10/166,534.16 = 66,966.10/x
  3. Step 3: Cross multiply
    120,676.10x = 166,534.16 × 66,966.10
  4. Step 4: Simplify right side
    120,676.10x = 11,152,142,460.81
  5. Step 5: Solve for x
    x = 11,152,142,460.81/120,676.10
  6. Step 6: Final answer
    x = 92,413.85

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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.