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Finding the Fourth Proportional to 138,878.38, 208,327.38 and 68,738.86

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Solution

The fourth proportional to 138,878.38, 208,327.38 and 68,738.86 is: 103,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,878.38 : 208,327.38 = 68,738.86 : x
  2. Step 2: Convert to fraction form
    138,878.38/208,327.38 = 68,738.86/x
  3. Step 3: Cross multiply
    138,878.38x = 208,327.38 × 68,738.86
  4. Step 4: Simplify right side
    138,878.38x = 14,320,186,607.99
  5. Step 5: Solve for x
    x = 14,320,186,607.99/138,878.38
  6. Step 6: Final answer
    x = 103,113.15

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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.