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Finding the Fourth Proportional to 107,980.64, 149,003.96 and 69,741.88

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Solution

The fourth proportional to 107,980.64, 149,003.96 and 69,741.88 is: 96,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,980.64 : 149,003.96 = 69,741.88 : x
  2. Step 2: Convert to fraction form
    107,980.64/149,003.96 = 69,741.88/x
  3. Step 3: Cross multiply
    107,980.64x = 149,003.96 × 69,741.88
  4. Step 4: Simplify right side
    107,980.64x = 10,391,816,297.84
  5. Step 5: Solve for x
    x = 10,391,816,297.84/107,980.64
  6. Step 6: Final answer
    x = 96,237.77

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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.