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Finding the Fourth Proportional to 207,765.72, 286,699.49 and 117,143.96

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Solution

The fourth proportional to 207,765.72, 286,699.49 and 117,143.96 is: 161,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,765.72 : 286,699.49 = 117,143.96 : x
  2. Step 2: Convert to fraction form
    207,765.72/286,699.49 = 117,143.96/x
  3. Step 3: Cross multiply
    207,765.72x = 286,699.49 × 117,143.96
  4. Step 4: Simplify right side
    207,765.72x = 33,585,113,053.43
  5. Step 5: Solve for x
    x = 33,585,113,053.43/207,765.72
  6. Step 6: Final answer
    x = 161,648.96

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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.