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Finding the Fourth Proportional to 216,086.42, 324,129.63 and 58,314.86

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Solution

The fourth proportional to 216,086.42, 324,129.63 and 58,314.86 is: 87,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086.42 : 324,129.63 = 58,314.86 : x
  2. Step 2: Convert to fraction form
    216,086.42/324,129.63 = 58,314.86/x
  3. Step 3: Cross multiply
    216,086.42x = 324,129.63 × 58,314.86
  4. Step 4: Simplify right side
    216,086.42x = 18,901,573,995.30
  5. Step 5: Solve for x
    x = 18,901,573,995.30/216,086.42
  6. Step 6: Final answer
    x = 87,472.29

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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.