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Finding the Fourth Proportional to 230,683.86, 318,343.77 and 130,081.86

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Solution

The fourth proportional to 230,683.86, 318,343.77 and 130,081.86 is: 179,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,683.86 : 318,343.77 = 130,081.86 : x
  2. Step 2: Convert to fraction form
    230,683.86/318,343.77 = 130,081.86/x
  3. Step 3: Cross multiply
    230,683.86x = 318,343.77 × 130,081.86
  4. Step 4: Simplify right side
    230,683.86x = 41,410,749,721.01
  5. Step 5: Solve for x
    x = 41,410,749,721.01/230,683.86
  6. Step 6: Final answer
    x = 179,512.99

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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.