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Finding the Fourth Proportional to 208,684.32, 313,071.84 and 68,437.68

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Solution

The fourth proportional to 208,684.32, 313,071.84 and 68,437.68 is: 102,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,684.32 : 313,071.84 = 68,437.68 : x
  2. Step 2: Convert to fraction form
    208,684.32/313,071.84 = 68,437.68/x
  3. Step 3: Cross multiply
    208,684.32x = 313,071.84 × 68,437.68
  4. Step 4: Simplify right side
    208,684.32x = 21,425,910,402.93
  5. Step 5: Solve for x
    x = 21,425,910,402.93/208,684.32
  6. Step 6: Final answer
    x = 102,671.40

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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.