Home / 205,478.31-283,559.15-114,834.20

Finding the Fourth Proportional to 205,478.31, 283,559.15 and 114,834.20

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Solution

The fourth proportional to 205,478.31, 283,559.15 and 114,834.20 is: 158,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,478.31 : 283,559.15 = 114,834.20 : x
  2. Step 2: Convert to fraction form
    205,478.31/283,559.15 = 114,834.20/x
  3. Step 3: Cross multiply
    205,478.31x = 283,559.15 × 114,834.20
  4. Step 4: Simplify right side
    205,478.31x = 32,562,286,150.96
  5. Step 5: Solve for x
    x = 32,562,286,150.96/205,478.31
  6. Step 6: Final answer
    x = 158,470.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.