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Finding the Fourth Proportional to 61,143.57, 91,713.20 and 16,769.61

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Solution

The fourth proportional to 61,143.57, 91,713.20 and 16,769.61 is: 25,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,143.57 : 91,713.20 = 16,769.61 : x
  2. Step 2: Convert to fraction form
    61,143.57/91,713.20 = 16,769.61/x
  3. Step 3: Cross multiply
    61,143.57x = 91,713.20 × 16,769.61
  4. Step 4: Simplify right side
    61,143.57x = 1,537,994,512.00
  5. Step 5: Solve for x
    x = 1,537,994,512.00/61,143.57
  6. Step 6: Final answer
    x = 25,153.82

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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.