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Finding the Fourth Proportional to 189,391.48, 284,195.76 and 77,050.96

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Solution

The fourth proportional to 189,391.48, 284,195.76 and 77,050.96 is: 115,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,391.48 : 284,195.76 = 77,050.96 : x
  2. Step 2: Convert to fraction form
    189,391.48/284,195.76 = 77,050.96/x
  3. Step 3: Cross multiply
    189,391.48x = 284,195.76 × 77,050.96
  4. Step 4: Simplify right side
    189,391.48x = 21,897,556,135.93
  5. Step 5: Solve for x
    x = 21,897,556,135.93/189,391.48
  6. Step 6: Final answer
    x = 115,620.60

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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.