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Finding the Fourth Proportional to 208,655.91, 287,942.31 and 113,160.69

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Solution

The fourth proportional to 208,655.91, 287,942.31 and 113,160.69 is: 156,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,655.91 : 287,942.31 = 113,160.69 : x
  2. Step 2: Convert to fraction form
    208,655.91/287,942.31 = 113,160.69/x
  3. Step 3: Cross multiply
    208,655.91x = 287,942.31 × 113,160.69
  4. Step 4: Simplify right side
    208,655.91x = 32,583,750,479.79
  5. Step 5: Solve for x
    x = 32,583,750,479.79/208,655.91
  6. Step 6: Final answer
    x = 156,160.21

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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.