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Finding the Fourth Proportional to 120,980.64, 166,957.56 and 67,280.88

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Solution

The fourth proportional to 120,980.64, 166,957.56 and 67,280.88 is: 92,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.64 : 166,957.56 = 67,280.88 : x
  2. Step 2: Convert to fraction form
    120,980.64/166,957.56 = 67,280.88/x
  3. Step 3: Cross multiply
    120,980.64x = 166,957.56 × 67,280.88
  4. Step 4: Simplify right side
    120,980.64x = 11,233,051,559.45
  5. Step 5: Solve for x
    x = 11,233,051,559.45/120,980.64
  6. Step 6: Final answer
    x = 92,849.99

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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.