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Finding the Fourth Proportional to 149,036.80, 205,669.92 and 81,968.80

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Solution

The fourth proportional to 149,036.80, 205,669.92 and 81,968.80 is: 113,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,036.80 : 205,669.92 = 81,968.80 : x
  2. Step 2: Convert to fraction form
    149,036.80/205,669.92 = 81,968.80/x
  3. Step 3: Cross multiply
    149,036.80x = 205,669.92 × 81,968.80
  4. Step 4: Simplify right side
    149,036.80x = 16,858,516,538.50
  5. Step 5: Solve for x
    x = 16,858,516,538.50/149,036.80
  6. Step 6: Final answer
    x = 113,116.47

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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.