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Finding the Fourth Proportional to 207,547.60, 311,601.39 and 132,813.76

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Solution

The fourth proportional to 207,547.60, 311,601.39 and 132,813.76 is: 199,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,547.60 : 311,601.39 = 132,813.76 : x
  2. Step 2: Convert to fraction form
    207,547.60/311,601.39 = 132,813.76/x
  3. Step 3: Cross multiply
    207,547.60x = 311,601.39 × 132,813.76
  4. Step 4: Simplify right side
    207,547.60x = 41,384,952,227.13
  5. Step 5: Solve for x
    x = 41,384,952,227.13/207,547.60
  6. Step 6: Final answer
    x = 199,399.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.