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Finding the Fourth Proportional to 120,892.30, 166,783.62 and 69,895.69

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Solution

The fourth proportional to 120,892.30, 166,783.62 and 69,895.69 is: 96,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,892.30 : 166,783.62 = 69,895.69 : x
  2. Step 2: Convert to fraction form
    120,892.30/166,783.62 = 69,895.69/x
  3. Step 3: Cross multiply
    120,892.30x = 166,783.62 × 69,895.69
  4. Step 4: Simplify right side
    120,892.30x = 11,657,456,200.60
  5. Step 5: Solve for x
    x = 11,657,456,200.60/120,892.30
  6. Step 6: Final answer
    x = 96,428.44

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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.