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Finding the Fourth Proportional to 208,114.25, 287,197.67 and 112,620.95

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Solution

The fourth proportional to 208,114.25, 287,197.67 and 112,620.95 is: 155,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.25 : 287,197.67 = 112,620.95 : x
  2. Step 2: Convert to fraction form
    208,114.25/287,197.67 = 112,620.95/x
  3. Step 3: Cross multiply
    208,114.25x = 287,197.67 × 112,620.95
  4. Step 4: Simplify right side
    208,114.25x = 32,344,473,933.41
  5. Step 5: Solve for x
    x = 32,344,473,933.41/208,114.25
  6. Step 6: Final answer
    x = 155,416.91

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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.