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Finding the Fourth Proportional to 208,723.32, 313,130.34 and 68,476.68

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Solution

The fourth proportional to 208,723.32, 313,130.34 and 68,476.68 is: 102,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,723.32 : 313,130.34 = 68,476.68 : x
  2. Step 2: Convert to fraction form
    208,723.32/313,130.34 = 68,476.68/x
  3. Step 3: Cross multiply
    208,723.32x = 313,130.34 × 68,476.68
  4. Step 4: Simplify right side
    208,723.32x = 21,442,126,090.47
  5. Step 5: Solve for x
    x = 21,442,126,090.47/208,723.32
  6. Step 6: Final answer
    x = 102,729.90

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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.