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Finding the Fourth Proportional to 208,438.80, 287,644.32 and 117,824.10

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Solution

The fourth proportional to 208,438.80, 287,644.32 and 117,824.10 is: 162,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.80 : 287,644.32 = 117,824.10 : x
  2. Step 2: Convert to fraction form
    208,438.80/287,644.32 = 117,824.10/x
  3. Step 3: Cross multiply
    208,438.80x = 287,644.32 × 117,824.10
  4. Step 4: Simplify right side
    208,438.80x = 33,891,433,124.11
  5. Step 5: Solve for x
    x = 33,891,433,124.11/208,438.80
  6. Step 6: Final answer
    x = 162,596.57

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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.