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Finding the Fourth Proportional to 208,476.96, 287,697.48 and 112,986

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Solution

The fourth proportional to 208,476.96, 287,697.48 and 112,986 is: 155,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,476.96 : 287,697.48 = 112,986 : x
  2. Step 2: Convert to fraction form
    208,476.96/287,697.48 = 112,986/x
  3. Step 3: Cross multiply
    208,476.96x = 287,697.48 × 112,986
  4. Step 4: Simplify right side
    208,476.96x = 32,505,787,475.28
  5. Step 5: Solve for x
    x = 32,505,787,475.28/208,476.96
  6. Step 6: Final answer
    x = 155,920.29

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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.