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Finding the Fourth Proportional to 144,718.72, 199,719.36 and 81,052.80

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Solution

The fourth proportional to 144,718.72, 199,719.36 and 81,052.80 is: 111,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,718.72 : 199,719.36 = 81,052.80 : x
  2. Step 2: Convert to fraction form
    144,718.72/199,719.36 = 81,052.80/x
  3. Step 3: Cross multiply
    144,718.72x = 199,719.36 × 81,052.80
  4. Step 4: Simplify right side
    144,718.72x = 16,187,813,342.21
  5. Step 5: Solve for x
    x = 16,187,813,342.21/144,718.72
  6. Step 6: Final answer
    x = 111,857.08

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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.