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Finding the Fourth Proportional to 139,884.21, 209,859.09 and 55,649.16

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Solution

The fourth proportional to 139,884.21, 209,859.09 and 55,649.16 is: 83,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,884.21 : 209,859.09 = 55,649.16 : x
  2. Step 2: Convert to fraction form
    139,884.21/209,859.09 = 55,649.16/x
  3. Step 3: Cross multiply
    139,884.21x = 209,859.09 × 55,649.16
  4. Step 4: Simplify right side
    139,884.21x = 11,678,482,076.86
  5. Step 5: Solve for x
    x = 11,678,482,076.86/139,884.21
  6. Step 6: Final answer
    x = 83,486.78

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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.