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Finding the Fourth Proportional to 137,147.76, 205,677.63 and 43,631.64

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Solution

The fourth proportional to 137,147.76, 205,677.63 and 43,631.64 is: 65,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,147.76 : 205,677.63 = 43,631.64 : x
  2. Step 2: Convert to fraction form
    137,147.76/205,677.63 = 43,631.64/x
  3. Step 3: Cross multiply
    137,147.76x = 205,677.63 × 43,631.64
  4. Step 4: Simplify right side
    137,147.76x = 8,974,052,308.21
  5. Step 5: Solve for x
    x = 8,974,052,308.21/137,147.76
  6. Step 6: Final answer
    x = 65,433.46

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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.