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Finding the Fourth Proportional to 208,653.68, 287,942.41 and 113,160.45

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Solution

The fourth proportional to 208,653.68, 287,942.41 and 113,160.45 is: 156,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,653.68 : 287,942.41 = 113,160.45 : x
  2. Step 2: Convert to fraction form
    208,653.68/287,942.41 = 113,160.45/x
  3. Step 3: Cross multiply
    208,653.68x = 287,942.41 × 113,160.45
  4. Step 4: Simplify right side
    208,653.68x = 32,583,691,327.00
  5. Step 5: Solve for x
    x = 32,583,691,327.00/208,653.68
  6. Step 6: Final answer
    x = 156,161.60

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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.