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Finding the Fourth Proportional to 107,381.80, 161,072.70 and 54,784.45

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Solution

The fourth proportional to 107,381.80, 161,072.70 and 54,784.45 is: 82,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,381.80 : 161,072.70 = 54,784.45 : x
  2. Step 2: Convert to fraction form
    107,381.80/161,072.70 = 54,784.45/x
  3. Step 3: Cross multiply
    107,381.80x = 161,072.70 × 54,784.45
  4. Step 4: Simplify right side
    107,381.80x = 8,824,279,279.52
  5. Step 5: Solve for x
    x = 8,824,279,279.52/107,381.80
  6. Step 6: Final answer
    x = 82,176.68

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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.