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Finding the Fourth Proportional to 181,645.50, 272,512 and 56,986.50

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Solution

The fourth proportional to 181,645.50, 272,512 and 56,986.50 is: 85,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,645.50 : 272,512 = 56,986.50 : x
  2. Step 2: Convert to fraction form
    181,645.50/272,512 = 56,986.50/x
  3. Step 3: Cross multiply
    181,645.50x = 272,512 × 56,986.50
  4. Step 4: Simplify right side
    181,645.50x = 15,529,505,088
  5. Step 5: Solve for x
    x = 15,529,505,088/181,645.50
  6. Step 6: Final answer
    x = 85,493.48

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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.