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Finding the Fourth Proportional to 243,288.05, 364,942.02 and 83,473.89

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Solution

The fourth proportional to 243,288.05, 364,942.02 and 83,473.89 is: 125,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,288.05 : 364,942.02 = 83,473.89 : x
  2. Step 2: Convert to fraction form
    243,288.05/364,942.02 = 83,473.89/x
  3. Step 3: Cross multiply
    243,288.05x = 364,942.02 × 83,473.89
  4. Step 4: Simplify right side
    243,288.05x = 30,463,129,616.49
  5. Step 5: Solve for x
    x = 30,463,129,616.49/243,288.05
  6. Step 6: Final answer
    x = 125,214.25

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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.