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Finding the Fourth Proportional to 208,491.81, 287,719.16 and 112,998.48

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Solution

The fourth proportional to 208,491.81, 287,719.16 and 112,998.48 is: 155,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,491.81 : 287,719.16 = 112,998.48 : x
  2. Step 2: Convert to fraction form
    208,491.81/287,719.16 = 112,998.48/x
  3. Step 3: Cross multiply
    208,491.81x = 287,719.16 × 112,998.48
  4. Step 4: Simplify right side
    208,491.81x = 32,511,827,181.88
  5. Step 5: Solve for x
    x = 32,511,827,181.88/208,491.81
  6. Step 6: Final answer
    x = 155,938.15

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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.