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Finding the Fourth Proportional to 145,722, 201,096.96 and 82,060.86

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Solution

The fourth proportional to 145,722, 201,096.96 and 82,060.86 is: 113,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,722 : 201,096.96 = 82,060.86 : x
  2. Step 2: Convert to fraction form
    145,722/201,096.96 = 82,060.86/x
  3. Step 3: Cross multiply
    145,722x = 201,096.96 × 82,060.86
  4. Step 4: Simplify right side
    145,722x = 16,502,189,480.99
  5. Step 5: Solve for x
    x = 16,502,189,480.99/145,722
  6. Step 6: Final answer
    x = 113,244.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.