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Finding the Fourth Proportional to 121,736.80, 182,619.78 and 51,607

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Solution

The fourth proportional to 121,736.80, 182,619.78 and 51,607 is: 77,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,736.80 : 182,619.78 = 51,607 : x
  2. Step 2: Convert to fraction form
    121,736.80/182,619.78 = 51,607/x
  3. Step 3: Cross multiply
    121,736.80x = 182,619.78 × 51,607
  4. Step 4: Simplify right side
    121,736.80x = 9,424,458,986.46
  5. Step 5: Solve for x
    x = 9,424,458,986.46/121,736.80
  6. Step 6: Final answer
    x = 77,416.68

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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.