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Finding the Fourth Proportional to 91,102.80, 136,692 and 41,148.48

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Solution

The fourth proportional to 91,102.80, 136,692 and 41,148.48 is: 61,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,102.80 : 136,692 = 41,148.48 : x
  2. Step 2: Convert to fraction form
    91,102.80/136,692 = 41,148.48/x
  3. Step 3: Cross multiply
    91,102.80x = 136,692 × 41,148.48
  4. Step 4: Simplify right side
    91,102.80x = 5,624,668,028.16
  5. Step 5: Solve for x
    x = 5,624,668,028.16/91,102.80
  6. Step 6: Final answer
    x = 61,739.79

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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.