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Finding the Fourth Proportional to 98,131.50, 135,439.14 and 57,842.88

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Solution

The fourth proportional to 98,131.50, 135,439.14 and 57,842.88 is: 79,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,131.50 : 135,439.14 = 57,842.88 : x
  2. Step 2: Convert to fraction form
    98,131.50/135,439.14 = 57,842.88/x
  3. Step 3: Cross multiply
    98,131.50x = 135,439.14 × 57,842.88
  4. Step 4: Simplify right side
    98,131.50x = 7,834,189,922.32
  5. Step 5: Solve for x
    x = 7,834,189,922.32/98,131.50
  6. Step 6: Final answer
    x = 79,833.59

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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.