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Finding the Fourth Proportional to 137,315.22, 205,841.07 and 43,759.86

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Solution

The fourth proportional to 137,315.22, 205,841.07 and 43,759.86 is: 65,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315.22 : 205,841.07 = 43,759.86 : x
  2. Step 2: Convert to fraction form
    137,315.22/205,841.07 = 43,759.86/x
  3. Step 3: Cross multiply
    137,315.22x = 205,841.07 × 43,759.86
  4. Step 4: Simplify right side
    137,315.22x = 9,007,576,405.45
  5. Step 5: Solve for x
    x = 9,007,576,405.45/137,315.22
  6. Step 6: Final answer
    x = 65,597.80

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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.