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Finding the Fourth Proportional to 87,164.86, 120,313.80 and 75,355.06

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Solution

The fourth proportional to 87,164.86, 120,313.80 and 75,355.06 is: 104,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,164.86 : 120,313.80 = 75,355.06 : x
  2. Step 2: Convert to fraction form
    87,164.86/120,313.80 = 75,355.06/x
  3. Step 3: Cross multiply
    87,164.86x = 120,313.80 × 75,355.06
  4. Step 4: Simplify right side
    87,164.86x = 9,066,253,617.83
  5. Step 5: Solve for x
    x = 9,066,253,617.83/87,164.86
  6. Step 6: Final answer
    x = 104,012.71

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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.