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Finding the Fourth Proportional to 149,866.12, 206,805.32 and 85,341.94

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Solution

The fourth proportional to 149,866.12, 206,805.32 and 85,341.94 is: 117,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,866.12 : 206,805.32 = 85,341.94 : x
  2. Step 2: Convert to fraction form
    149,866.12/206,805.32 = 85,341.94/x
  3. Step 3: Cross multiply
    149,866.12x = 206,805.32 × 85,341.94
  4. Step 4: Simplify right side
    149,866.12x = 17,649,166,587.43
  5. Step 5: Solve for x
    x = 17,649,166,587.43/149,866.12
  6. Step 6: Final answer
    x = 117,766.22

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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.