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Finding the Fourth Proportional to 208,311.60, 287,470.50 and 112,818

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Solution

The fourth proportional to 208,311.60, 287,470.50 and 112,818 is: 155,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.60 : 287,470.50 = 112,818 : x
  2. Step 2: Convert to fraction form
    208,311.60/287,470.50 = 112,818/x
  3. Step 3: Cross multiply
    208,311.60x = 287,470.50 × 112,818
  4. Step 4: Simplify right side
    208,311.60x = 32,431,846,869
  5. Step 5: Solve for x
    x = 32,431,846,869/208,311.60
  6. Step 6: Final answer
    x = 155,689.11

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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.