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Finding the Fourth Proportional to 189,760.70, 284,394.08 and 77,309.21

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Solution

The fourth proportional to 189,760.70, 284,394.08 and 77,309.21 is: 115,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,760.70 : 284,394.08 = 77,309.21 : x
  2. Step 2: Convert to fraction form
    189,760.70/284,394.08 = 77,309.21/x
  3. Step 3: Cross multiply
    189,760.70x = 284,394.08 × 77,309.21
  4. Step 4: Simplify right side
    189,760.70x = 21,986,279,844.96
  5. Step 5: Solve for x
    x = 21,986,279,844.96/189,760.70
  6. Step 6: Final answer
    x = 115,863.19

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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.