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Finding the Fourth Proportional to 205,639.16, 308,550.67 and 130,739.27

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Solution

The fourth proportional to 205,639.16, 308,550.67 and 130,739.27 is: 196,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,639.16 : 308,550.67 = 130,739.27 : x
  2. Step 2: Convert to fraction form
    205,639.16/308,550.67 = 130,739.27/x
  3. Step 3: Cross multiply
    205,639.16x = 308,550.67 × 130,739.27
  4. Step 4: Simplify right side
    205,639.16x = 40,339,687,484.21
  5. Step 5: Solve for x
    x = 40,339,687,484.21/205,639.16
  6. Step 6: Final answer
    x = 196,167.35

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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.