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Finding the Fourth Proportional to 143,222.93, 197,625.71 and 82,781.93

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Solution

The fourth proportional to 143,222.93, 197,625.71 and 82,781.93 is: 114,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,222.93 : 197,625.71 = 82,781.93 : x
  2. Step 2: Convert to fraction form
    143,222.93/197,625.71 = 82,781.93/x
  3. Step 3: Cross multiply
    143,222.93x = 197,625.71 × 82,781.93
  4. Step 4: Simplify right side
    143,222.93x = 16,359,837,277.51
  5. Step 5: Solve for x
    x = 16,359,837,277.51/143,222.93
  6. Step 6: Final answer
    x = 114,226.38

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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.