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Finding the Fourth Proportional to 180,738.86, 271,182.64 and 79,484.80

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Solution

The fourth proportional to 180,738.86, 271,182.64 and 79,484.80 is: 119,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,738.86 : 271,182.64 = 79,484.80 : x
  2. Step 2: Convert to fraction form
    180,738.86/271,182.64 = 79,484.80/x
  3. Step 3: Cross multiply
    180,738.86x = 271,182.64 × 79,484.80
  4. Step 4: Simplify right side
    180,738.86x = 21,554,897,903.87
  5. Step 5: Solve for x
    x = 21,554,897,903.87/180,738.86
  6. Step 6: Final answer
    x = 119,259.90

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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.