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Finding the Fourth Proportional to 144,719.72, 199,720.74 and 81,053.80

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Solution

The fourth proportional to 144,719.72, 199,720.74 and 81,053.80 is: 111,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,719.72 : 199,720.74 = 81,053.80 : x
  2. Step 2: Convert to fraction form
    144,719.72/199,720.74 = 81,053.80/x
  3. Step 3: Cross multiply
    144,719.72x = 199,720.74 × 81,053.80
  4. Step 4: Simplify right side
    144,719.72x = 16,188,124,915.81
  5. Step 5: Solve for x
    x = 16,188,124,915.81/144,719.72
  6. Step 6: Final answer
    x = 111,858.46

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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.