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Finding the Fourth Proportional to 109,242.72, 163,961.73 and 55,971

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Solution

The fourth proportional to 109,242.72, 163,961.73 and 55,971 is: 84,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242.72 : 163,961.73 = 55,971 : x
  2. Step 2: Convert to fraction form
    109,242.72/163,961.73 = 55,971/x
  3. Step 3: Cross multiply
    109,242.72x = 163,961.73 × 55,971
  4. Step 4: Simplify right side
    109,242.72x = 9,177,101,989.83
  5. Step 5: Solve for x
    x = 9,177,101,989.83/109,242.72
  6. Step 6: Final answer
    x = 84,006.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.