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Finding the Fourth Proportional to 149,880.86, 206,843.46 and 86,228.23

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Solution

The fourth proportional to 149,880.86, 206,843.46 and 86,228.23 is: 118,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,880.86 : 206,843.46 = 86,228.23 : x
  2. Step 2: Convert to fraction form
    149,880.86/206,843.46 = 86,228.23/x
  3. Step 3: Cross multiply
    149,880.86x = 206,843.46 × 86,228.23
  4. Step 4: Simplify right side
    149,880.86x = 17,835,744,408.66
  5. Step 5: Solve for x
    x = 17,835,744,408.66/149,880.86
  6. Step 6: Final answer
    x = 118,999.48

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1.5x scale

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.