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Finding the Fourth Proportional to 207,969.72, 286,998.29 and 112,476.43

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Solution

The fourth proportional to 207,969.72, 286,998.29 and 112,476.43 is: 155,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,969.72 : 286,998.29 = 112,476.43 : x
  2. Step 2: Convert to fraction form
    207,969.72/286,998.29 = 112,476.43/x
  3. Step 3: Cross multiply
    207,969.72x = 286,998.29 × 112,476.43
  4. Step 4: Simplify right side
    207,969.72x = 32,280,543,075.30
  5. Step 5: Solve for x
    x = 32,280,543,075.30/207,969.72
  6. Step 6: Final answer
    x = 155,217.51

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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.