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Finding the Fourth Proportional to 83,485.50, 125,235.54 and 21,156

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Solution

The fourth proportional to 83,485.50, 125,235.54 and 21,156 is: 31,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.50 : 125,235.54 = 21,156 : x
  2. Step 2: Convert to fraction form
    83,485.50/125,235.54 = 21,156/x
  3. Step 3: Cross multiply
    83,485.50x = 125,235.54 × 21,156
  4. Step 4: Simplify right side
    83,485.50x = 2,649,483,084.24
  5. Step 5: Solve for x
    x = 2,649,483,084.24/83,485.50
  6. Step 6: Final answer
    x = 31,735.85

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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.