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Finding the Fourth Proportional to 121,538.80, 181,870.80 and 82,172.80

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Solution

The fourth proportional to 121,538.80, 181,870.80 and 82,172.80 is: 122,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,538.80 : 181,870.80 = 82,172.80 : x
  2. Step 2: Convert to fraction form
    121,538.80/181,870.80 = 82,172.80/x
  3. Step 3: Cross multiply
    121,538.80x = 181,870.80 × 82,172.80
  4. Step 4: Simplify right side
    121,538.80x = 14,944,832,874.24
  5. Step 5: Solve for x
    x = 14,944,832,874.24/121,538.80
  6. Step 6: Final answer
    x = 122,963.47

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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.