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Finding the Fourth Proportional to 149,737.76, 206,563.53 and 89,265.79

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Solution

The fourth proportional to 149,737.76, 206,563.53 and 89,265.79 is: 123,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,737.76 : 206,563.53 = 89,265.79 : x
  2. Step 2: Convert to fraction form
    149,737.76/206,563.53 = 89,265.79/x
  3. Step 3: Cross multiply
    149,737.76x = 206,563.53 × 89,265.79
  4. Step 4: Simplify right side
    149,737.76x = 18,439,057,283.59
  5. Step 5: Solve for x
    x = 18,439,057,283.59/149,737.76
  6. Step 6: Final answer
    x = 123,142.34

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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.