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Finding the Fourth Proportional to 137,894.53, 190,288.43 and 84,269.29

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Solution

The fourth proportional to 137,894.53, 190,288.43 and 84,269.29 is: 116,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.53 : 190,288.43 = 84,269.29 : x
  2. Step 2: Convert to fraction form
    137,894.53/190,288.43 = 84,269.29/x
  3. Step 3: Cross multiply
    137,894.53x = 190,288.43 × 84,269.29
  4. Step 4: Simplify right side
    137,894.53x = 16,035,470,469.97
  5. Step 5: Solve for x
    x = 16,035,470,469.97/137,894.53
  6. Step 6: Final answer
    x = 116,287.94

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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.