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Finding the Fourth Proportional to 208,491.44, 287,718.64 and 112,998.11

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Solution

The fourth proportional to 208,491.44, 287,718.64 and 112,998.11 is: 155,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,491.44 : 287,718.64 = 112,998.11 : x
  2. Step 2: Convert to fraction form
    208,491.44/287,718.64 = 112,998.11/x
  3. Step 3: Cross multiply
    208,491.44x = 287,718.64 × 112,998.11
  4. Step 4: Simplify right side
    208,491.44x = 32,511,660,810.68
  5. Step 5: Solve for x
    x = 32,511,660,810.68/208,491.44
  6. Step 6: Final answer
    x = 155,937.63

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1.5x scale

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.