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Finding the Fourth Proportional to 149,881.50, 206,851.60 and 82,813.50

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Solution

The fourth proportional to 149,881.50, 206,851.60 and 82,813.50 is: 114,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,881.50 : 206,851.60 = 82,813.50 : x
  2. Step 2: Convert to fraction form
    149,881.50/206,851.60 = 82,813.50/x
  3. Step 3: Cross multiply
    149,881.50x = 206,851.60 × 82,813.50
  4. Step 4: Simplify right side
    149,881.50x = 17,130,104,976.60
  5. Step 5: Solve for x
    x = 17,130,104,976.60/149,881.50
  6. Step 6: Final answer
    x = 114,290.99

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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.