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Finding the Fourth Proportional to 202,080.50, 303,164.52 and 77,421.50

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Solution

The fourth proportional to 202,080.50, 303,164.52 and 77,421.50 is: 116,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,080.50 : 303,164.52 = 77,421.50 : x
  2. Step 2: Convert to fraction form
    202,080.50/303,164.52 = 77,421.50/x
  3. Step 3: Cross multiply
    202,080.50x = 303,164.52 × 77,421.50
  4. Step 4: Simplify right side
    202,080.50x = 23,471,451,885.18
  5. Step 5: Solve for x
    x = 23,471,451,885.18/202,080.50
  6. Step 6: Final answer
    x = 116,149.02

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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.