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Finding the Fourth Proportional to 243,121.36, 364,844.96 and 85,350.28

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Solution

The fourth proportional to 243,121.36, 364,844.96 and 85,350.28 is: 128,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,121.36 : 364,844.96 = 85,350.28 : x
  2. Step 2: Convert to fraction form
    243,121.36/364,844.96 = 85,350.28/x
  3. Step 3: Cross multiply
    243,121.36x = 364,844.96 × 85,350.28
  4. Step 4: Simplify right side
    243,121.36x = 31,139,619,492.59
  5. Step 5: Solve for x
    x = 31,139,619,492.59/243,121.36
  6. Step 6: Final answer
    x = 128,082.61

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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.