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Finding the Fourth Proportional to 144,722.64, 199,717.85 and 84,334.71

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Solution

The fourth proportional to 144,722.64, 199,717.85 and 84,334.71 is: 116,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,722.64 : 199,717.85 = 84,334.71 : x
  2. Step 2: Convert to fraction form
    144,722.64/199,717.85 = 84,334.71/x
  3. Step 3: Cross multiply
    144,722.64x = 199,717.85 × 84,334.71
  4. Step 4: Simplify right side
    144,722.64x = 16,843,146,961.57
  5. Step 5: Solve for x
    x = 16,843,146,961.57/144,722.64
  6. Step 6: Final answer
    x = 116,382.25

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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.