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Finding the Fourth Proportional to 81,524.86, 122,287.37 and 65,655.48

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Solution

The fourth proportional to 81,524.86, 122,287.37 and 65,655.48 is: 98,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,524.86 : 122,287.37 = 65,655.48 : x
  2. Step 2: Convert to fraction form
    81,524.86/122,287.37 = 65,655.48/x
  3. Step 3: Cross multiply
    81,524.86x = 122,287.37 × 65,655.48
  4. Step 4: Simplify right side
    81,524.86x = 8,028,835,975.29
  5. Step 5: Solve for x
    x = 8,028,835,975.29/81,524.86
  6. Step 6: Final answer
    x = 98,483.28

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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.