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Finding the Fourth Proportional to 149,295.80, 206,024.64 and 85,629.53

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Solution

The fourth proportional to 149,295.80, 206,024.64 and 85,629.53 is: 118,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,295.80 : 206,024.64 = 85,629.53 : x
  2. Step 2: Convert to fraction form
    149,295.80/206,024.64 = 85,629.53/x
  3. Step 3: Cross multiply
    149,295.80x = 206,024.64 × 85,629.53
  4. Step 4: Simplify right side
    149,295.80x = 17,641,793,091.62
  5. Step 5: Solve for x
    x = 17,641,793,091.62/149,295.80
  6. Step 6: Final answer
    x = 118,166.71

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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.