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Finding the Fourth Proportional to 189,433.01, 283,902.71 and 76,981.79

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Solution

The fourth proportional to 189,433.01, 283,902.71 and 76,981.79 is: 115,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,433.01 : 283,902.71 = 76,981.79 : x
  2. Step 2: Convert to fraction form
    189,433.01/283,902.71 = 76,981.79/x
  3. Step 3: Cross multiply
    189,433.01x = 283,902.71 × 76,981.79
  4. Step 4: Simplify right side
    189,433.01x = 21,855,339,126.50
  5. Step 5: Solve for x
    x = 21,855,339,126.50/189,433.01
  6. Step 6: Final answer
    x = 115,372.39

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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.