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Finding the Fourth Proportional to 208,691.64, 287,986.68 and 113,195.16

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Solution

The fourth proportional to 208,691.64, 287,986.68 and 113,195.16 is: 156,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,691.64 : 287,986.68 = 113,195.16 : x
  2. Step 2: Convert to fraction form
    208,691.64/287,986.68 = 113,195.16/x
  3. Step 3: Cross multiply
    208,691.64x = 287,986.68 × 113,195.16
  4. Step 4: Simplify right side
    208,691.64x = 32,598,698,320.47
  5. Step 5: Solve for x
    x = 32,598,698,320.47/208,691.64
  6. Step 6: Final answer
    x = 156,205.10

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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.