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Finding the Fourth Proportional to 208,322.11, 287,502.18 and 117,694.69

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Solution

The fourth proportional to 208,322.11, 287,502.18 and 117,694.69 is: 162,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,322.11 : 287,502.18 = 117,694.69 : x
  2. Step 2: Convert to fraction form
    208,322.11/287,502.18 = 117,694.69/x
  3. Step 3: Cross multiply
    208,322.11x = 287,502.18 × 117,694.69
  4. Step 4: Simplify right side
    208,322.11x = 33,837,479,949.42
  5. Step 5: Solve for x
    x = 33,837,479,949.42/208,322.11
  6. Step 6: Final answer
    x = 162,428.65

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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.