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Finding the Fourth Proportional to 149,914.80, 206,904.16 and 89,488

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Solution

The fourth proportional to 149,914.80, 206,904.16 and 89,488 is: 123,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,914.80 : 206,904.16 = 89,488 : x
  2. Step 2: Convert to fraction form
    149,914.80/206,904.16 = 89,488/x
  3. Step 3: Cross multiply
    149,914.80x = 206,904.16 × 89,488
  4. Step 4: Simplify right side
    149,914.80x = 18,515,439,470.08
  5. Step 5: Solve for x
    x = 18,515,439,470.08/149,914.80
  6. Step 6: Final answer
    x = 123,506.41

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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.