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Finding the Fourth Proportional to 143,444.96, 197,961.36 and 79,784

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Solution

The fourth proportional to 143,444.96, 197,961.36 and 79,784 is: 110,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,444.96 : 197,961.36 = 79,784 : x
  2. Step 2: Convert to fraction form
    143,444.96/197,961.36 = 79,784/x
  3. Step 3: Cross multiply
    143,444.96x = 197,961.36 × 79,784
  4. Step 4: Simplify right side
    143,444.96x = 15,794,149,146.24
  5. Step 5: Solve for x
    x = 15,794,149,146.24/143,444.96
  6. Step 6: Final answer
    x = 110,105.99

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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.