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Finding the Fourth Proportional to 146,149.86, 201,720.51 and 85,739.91

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Solution

The fourth proportional to 146,149.86, 201,720.51 and 85,739.91 is: 118,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,149.86 : 201,720.51 = 85,739.91 : x
  2. Step 2: Convert to fraction form
    146,149.86/201,720.51 = 85,739.91/x
  3. Step 3: Cross multiply
    146,149.86x = 201,720.51 × 85,739.91
  4. Step 4: Simplify right side
    146,149.86x = 17,295,498,372.55
  5. Step 5: Solve for x
    x = 17,295,498,372.55/146,149.86
  6. Step 6: Final answer
    x = 118,340.85

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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.