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Finding the Fourth Proportional to 149,046.26, 205,623.14 and 84,501.90

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Solution

The fourth proportional to 149,046.26, 205,623.14 and 84,501.90 is: 116,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046.26 : 205,623.14 = 84,501.90 : x
  2. Step 2: Convert to fraction form
    149,046.26/205,623.14 = 84,501.90/x
  3. Step 3: Cross multiply
    149,046.26x = 205,623.14 × 84,501.90
  4. Step 4: Simplify right side
    149,046.26x = 17,375,545,591.46
  5. Step 5: Solve for x
    x = 17,375,545,591.46/149,046.26
  6. Step 6: Final answer
    x = 116,578.21

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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.