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Finding the Fourth Proportional to 144,704.13, 199,691.74 and 81,041.93

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Solution

The fourth proportional to 144,704.13, 199,691.74 and 81,041.93 is: 111,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,704.13 : 199,691.74 = 81,041.93 : x
  2. Step 2: Convert to fraction form
    144,704.13/199,691.74 = 81,041.93/x
  3. Step 3: Cross multiply
    144,704.13x = 199,691.74 × 81,041.93
  4. Step 4: Simplify right side
    144,704.13x = 16,183,404,014.66
  5. Step 5: Solve for x
    x = 16,183,404,014.66/144,704.13
  6. Step 6: Final answer
    x = 111,837.89

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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.