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Finding the Fourth Proportional to 208,508.96, 312,651 and 112,497.63

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Solution

The fourth proportional to 208,508.96, 312,651 and 112,497.63 is: 168,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,508.96 : 312,651 = 112,497.63 : x
  2. Step 2: Convert to fraction form
    208,508.96/312,651 = 112,497.63/x
  3. Step 3: Cross multiply
    208,508.96x = 312,651 × 112,497.63
  4. Step 4: Simplify right side
    208,508.96x = 35,172,496,517.13
  5. Step 5: Solve for x
    x = 35,172,496,517.13/208,508.96
  6. Step 6: Final answer
    x = 168,685.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.