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Finding the Fourth Proportional to 120,972, 166,941.36 and 67,980

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Solution

The fourth proportional to 120,972, 166,941.36 and 67,980 is: 93,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,972 : 166,941.36 = 67,980 : x
  2. Step 2: Convert to fraction form
    120,972/166,941.36 = 67,980/x
  3. Step 3: Cross multiply
    120,972x = 166,941.36 × 67,980
  4. Step 4: Simplify right side
    120,972x = 11,348,673,652.80
  5. Step 5: Solve for x
    x = 11,348,673,652.80/120,972
  6. Step 6: Final answer
    x = 93,812.40

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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.