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Finding the Fourth Proportional to 89,820, 134,729.46 and 23,259.96

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Solution

The fourth proportional to 89,820, 134,729.46 and 23,259.96 is: 34,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,820 : 134,729.46 = 23,259.96 : x
  2. Step 2: Convert to fraction form
    89,820/134,729.46 = 23,259.96/x
  3. Step 3: Cross multiply
    89,820x = 134,729.46 × 23,259.96
  4. Step 4: Simplify right side
    89,820x = 3,133,801,850.42
  5. Step 5: Solve for x
    x = 3,133,801,850.42/89,820
  6. Step 6: Final answer
    x = 34,889.80

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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.