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Finding the Fourth Proportional to 208,309.26, 287,467.15 and 112,815.96

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Solution

The fourth proportional to 208,309.26, 287,467.15 and 112,815.96 is: 155,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,309.26 : 287,467.15 = 112,815.96 : x
  2. Step 2: Convert to fraction form
    208,309.26/287,467.15 = 112,815.96/x
  3. Step 3: Cross multiply
    208,309.26x = 287,467.15 × 112,815.96
  4. Step 4: Simplify right side
    208,309.26x = 32,430,882,213.67
  5. Step 5: Solve for x
    x = 32,430,882,213.67/208,309.26
  6. Step 6: Final answer
    x = 155,686.22

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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.