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Finding the Fourth Proportional to 81,046.20, 121,496.40 and 51,448.80

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Solution

The fourth proportional to 81,046.20, 121,496.40 and 51,448.80 is: 77,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,046.20 : 121,496.40 = 51,448.80 : x
  2. Step 2: Convert to fraction form
    81,046.20/121,496.40 = 51,448.80/x
  3. Step 3: Cross multiply
    81,046.20x = 121,496.40 × 51,448.80
  4. Step 4: Simplify right side
    81,046.20x = 6,250,843,984.32
  5. Step 5: Solve for x
    x = 6,250,843,984.32/81,046.20
  6. Step 6: Final answer
    x = 77,126.92

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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.