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Finding the Fourth Proportional to 77,489.99, 116,234.98 and 30,742.86

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Solution

The fourth proportional to 77,489.99, 116,234.98 and 30,742.86 is: 46,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,489.99 : 116,234.98 = 30,742.86 : x
  2. Step 2: Convert to fraction form
    77,489.99/116,234.98 = 30,742.86/x
  3. Step 3: Cross multiply
    77,489.99x = 116,234.98 × 30,742.86
  4. Step 4: Simplify right side
    77,489.99x = 3,573,395,640.39
  5. Step 5: Solve for x
    x = 3,573,395,640.39/77,489.99
  6. Step 6: Final answer
    x = 46,114.29

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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.