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Finding the Fourth Proportional to 243,289.05, 364,943.52 and 83,474.89

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Solution

The fourth proportional to 243,289.05, 364,943.52 and 83,474.89 is: 125,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,289.05 : 364,943.52 = 83,474.89 : x
  2. Step 2: Convert to fraction form
    243,289.05/364,943.52 = 83,474.89/x
  3. Step 3: Cross multiply
    243,289.05x = 364,943.52 × 83,474.89
  4. Step 4: Simplify right side
    243,289.05x = 30,463,620,188.21
  5. Step 5: Solve for x
    x = 30,463,620,188.21/243,289.05
  6. Step 6: Final answer
    x = 125,215.75

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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.