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Finding the Fourth Proportional to 135,878.77, 203,790.48 and 51,609.40

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Solution

The fourth proportional to 135,878.77, 203,790.48 and 51,609.40 is: 77,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,878.77 : 203,790.48 = 51,609.40 : x
  2. Step 2: Convert to fraction form
    135,878.77/203,790.48 = 51,609.40/x
  3. Step 3: Cross multiply
    135,878.77x = 203,790.48 × 51,609.40
  4. Step 4: Simplify right side
    135,878.77x = 10,517,505,132.12
  5. Step 5: Solve for x
    x = 10,517,505,132.12/135,878.77
  6. Step 6: Final answer
    x = 77,403.60

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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.